2027
- , :
Long-Time Trajectory Approximation via SA-NODEs: Model Predictive and Floquet Strategies
(2027)
DOI: 10.48550/arXiv.2608.10738
URL: https://arxiv.org/abs/2608.10738
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2026
- , , , , , :
The Sherpa.ai Blind Vertical Federated Learning paradigm to minimize the number of communications
(2026)
DOI: 10.48550/arXiv.2510.17901
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Controllability of diffusive Lotka – Volterra strongly competitive systems under boundary constrained controls
(2026)
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Exact Sequence Classification with Transformers (Conference contribution, accepted)
URL: https://arxiv.org/abs/2502.02270
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Exact Sequence Interpolation with Transformers
(2026)
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Reachability and asymptotics of Gaussian Transformer dynamics
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Optimized classification with neural ODEs via separability
(2026)
DOI: 10.48550/arXiv.2312.13807
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Analysis and optimal control of nonlocal age- and space-structured SVIR models
In: Journal of Differential Equations 464 (2026), Article No.: 114250
ISSN: 0022-0396
DOI: 10.1016/j.jde.2026.114250
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Global stabilization and emergence tracking via aquatic control in an age-structured mosquito model
In: Nonlinear Analysis-Real World Applications 92 (2026), Article No.: 104629
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2026.104629
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Boundary and interior control in a diffusive Lotka-Volterra model
In: Journal of Differential Equations 466 (2026), Article No.: 114257
ISSN: 0022-0396
DOI: 10.1016/j.jde.2026.114257
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New trends in mathematics for scientific machine learning
In: Mathematical Models & Methods in Applied Sciences 36 (2026), p. 1615-1621
ISSN: 0218-2025
DOI: 10.1142/S0218202526020033
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Interior interpretability with attention rollout: contraction and propagation profiles in Transformers
(2026)
DOI: doi.org/10.48550/arXiv.2607.22367
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Fair feature attribution for multi-output prediction: A Shapley-based perspective
(2026)
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Boundary observation and control for fractional heat and wave equations
(2026)
Open Access: https://doi.org/10.48550/arXiv.2504.17413
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Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
In: Mathematical Models & Methods in Applied Sciences (2026)
ISSN: 0218-2025
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/CocDNMadOrlZua-231029.pdf
BibTeX: Download - Crin-Barat T, Shou L-Y, Zhang J:
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the Lpframework
(2026)
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On the decay of one-dimensional locally and partially dissipated and hyperbolic systems
In: Esaim-Control Optimisation and Calculus of Variations (2026)
ISSN: 1292-8119
Open Access: https://arxiv.org/abs/2206.00555
URL: https://dcn.nat.fau.eu/wp-content/uploads/PartLocDissip-tCrinBarat-nDeNitti-eZuazua.pdf
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The Cattaneo-Christov approximation of Fourier heat-conductive compressible fluids
(2026)
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Asymptotic-preserving finite difference method for partially dissipative hyperbolic systems
(2026)
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Relative energy method for weak-strong uniqueness of the inhomogeneous Navier-Stokes equations
(2026)
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Regional and Partial Observability and Control of Waves
(2026)
BibTeX: Download - De Nitti N, Djitte S M:
Fractional Hardy-Rellich inequalities via integration by parts
(2026)
URL: https://arxiv.org/abs/2305.01976
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A few representation formulas for solutions of fractional Laplace equations
(2026)
Open Access: https://arxiv.org/abs/2309.09114
URL: https://arxiv.org/abs/2309.09114
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Stability analysis of the Navier-Stokes velocity tracking problem with bang-bang controls
(2026)
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Stability and genericity of bang-bang controls in affine problems
In: SIAM Journal on Control and Optimization (2026)
ISSN: 0363-0129
DOI: 10.48550/arXiv.2307.05418
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Large-time asymptotics in deep learning
(2026)
DOI: 10.48550/arXiv.2008.02491
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Sharpness and non-sharpness of occupation measure bounds for integral variational problems
(2026)
Open Access: https://arxiv.org/abs/2207.13570
URL: https://arxiv.org/abs/2207.13570
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Singular limit phenomenon in a nonlinear elliptic problem arising in electrochemistry
(2026)
DOI: 10.48550/arXiv.2606.20619
URL: https://arxiv.org/abs/2606.20619
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Combined Methods for Solving Time‑Varying Semilinear Differential‑Algebraic Equations with the Use of Spectral Projectors and Applications
In: International Journal of Numerical Analysis and Modeling 23 (2026), p. 305-352
ISSN: 1705-5105
DOI: 10.4208/ijnam2026-1013
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Combined numerical methods for solving time-varying semilinear differential-algebraic equations with the use of spectral projectors and recalculation
(2026)
DOI: 10.48550/arXiv.2212.00012
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Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation
(2026)
URL: https://arxiv.org/abs/2210.03798
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Sensor placement via large deviations in the eikonal equation
In: Arabian Journal of Mathematics (2026)
ISSN: 2193-5343
DOI: 10.1007/s40065-026-00628-1
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Weak-strong Uniqueness for Heat Conducting non-Newtonian Incompressible Fluids
(2026)
DOI: 10.1016/j.nonrwa.2022.103664
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Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow
(2026)
Open Access: https://arxiv.org/abs/2011.03024
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Turnpike in Control of PDEs, RESNETs and beyond
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/TurnpikePDEResnetsBeyond-bGeshkovskiZuazua.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/TurnpikePDEResnetsBeyond-bGeshkovskiZuazua.pdf
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Optimal Decay Rate for a Degenerate Hyperbolic-Parabolic Coupled System
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Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/han-zuazua-infinite-horizon9-2z.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/han-zuazua-infinite-horizon9-2z.pdf
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Averaged observations and turnpike phenomenon for parameter-dependent systems
(2026)
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Turnpike phenomenon for averaged optimal control
In: Optimization (2026)
ISSN: 0233-1934
DOI: 10.1080/02331934.2026.2615776
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Constructive Universal Approximation and Finite Sample Memorization by Narrow Deep Relu Networks
(2026)
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Random batch methods for discretized PDEs on graphs
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/Random-Batch-Methods-for-Discretized-PDEs-on-Graphs_MH_EZ_140625.pdf
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A Structure-Preserving Numerical Scheme for Optimal Control and Design of Mixing in Incompressible Flows
(2026)
BibTeX: Download - Ibañez de Opakua A, Bizkarguenaga M, de Diego Á, Conde R, González-Valle B, Gil-Redondo R, Santana T, Seco ML, Cenarro A, Lope V, Margarita SM, Pelusi S, Habisch H, Haudum C, Verheyen N, Obermayer-Pietsch B, Sorando-Fernandez MP, Arana-Arri E, Meijide S, Salazar AM, Hernandez G, Baldán-Martín M, Martínez-González PJ, Suárez-Trujillo F, Audije-Gil J, Arriaga JI, Iriberri M, Moran MÁ, Camino X, Gracia A, Bernardo-Seisdedos G, Sousa A, Oliveira N, Verde I, Zaro Bastanzuri MJ, González Fernández MR, Fernández-Bergés D, Navarrete-Arias L, Llamas-Velasco M, Biccari U, Morales R, Madl T, Unda-Urzaiz M, Carracedo A, Diercks T, Castelló A, Schäfer H, Spraul M, Cannet C, Tasic L, Sanchez-Pernaute R, Buguianessi E, Anstee Q, Embade N, Lu SC, Mera F, Valenti L, Luchinat C, Cibrián D, de la Fuente H, Civeira F, Arenas D, Gisbert JP, Chaparro M, Giskeodegard G, Bathen T, Zuazua E, Mato JM, Millet O:
Mapping metabolic aging and disease-associated acceleration using an interpretable NMR-based clock
(2026)
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Optimal convergence rates for the finite element approximation of the Sobolev constant
(2026)
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Sharp Numerical Approximation of the Hardy Constant
In: Discrete and Continuous Dynamical Systems 54 (2026), p. 15-32
ISSN: 1078-0947
DOI: 10.3934/dcds.2025165
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Transmutation based Quantum Simulation for Non-unitary Dynamics
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The hard-constraint PINNs for interface optimal control problems
(2026)
URL: https://arxiv.org/abs/2308.06709
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Fully Discrete High-Order DG Scheme for Waves: Dispersion and Observability
(2026)
DOI: 10.48550/arXiv.2605.17464
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Universal Approximation of Dynamical Systems by Semiautonomous Neural ODEs and Applications
In: SIAM Journal on Numerical Analysis 64 (2026), p. 193 - 223
ISSN: 0036-1429
DOI: 10.1137/24M1679690
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Deep Neural ODE Operator Networks for PDEs
In: Mathematical Models & Methods in Applied Sciences 36 (2026), p. 1739-1782
ISSN: 0218-2025
DOI: 10.1142/S0218202526420054
URL: https://www.worldscientific.com/doi/abs/10.1142/S0218202526420054
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Exact Controllability for Stochastic First-Order Multi-Dimensional Hyperbolic Systems
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Hamiltonian Interface Dynamics for Reduced-Order Optimization of Incompressible Mixing
(2026)
DOI: 10.48550/arXiv.2605.04688
URL: https://arxiv.org/abs/2605.04688
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Analysis and numerical solvability of backward-forward conservation laws
(2026)
DOI: 10.1137/22m1478720
URL: https://dcn.nat.fau.eu/wp-content/uploads/AnalysisNumSolvability_tLiardEZuazua.pdf
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Nonlinear Equilibrium Transitions in a Potential Game Model for Federated Learning
In: Physical Review D 483 (2026)
ISSN: 0556-2821
DOI: 10.1016/j.physd.2026.135288
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A PDE Perspective on Generative Diffusion Models
(2026)
URL: https://dcn.nat.fau.eu/wp-content/uploads/Diffusion-Models-Kang-Zuazua.pdf
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Geometric Asymptotics of Score Mixing and Guidance in Diffusion Models
(2026)
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Moments, time-inversion and source identification for the heat equation
In: Inverse Problems 42 (2026), Article No.: 015009
ISSN: 0266-5611
DOI: 10.1088/1361-6420/ae3797
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Moments, Time-Inversion and Source Identification for the Heat Equation
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HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling
(2026)
URL: https://dcn.nat.fau.eu/wp-content/uploads/HYCO-LL-EZ.pdf
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HYCO: A formalism for Hybrid-Cooperative PDE modelling
(2026)
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Hybrid Modeling of Whole-Brain Dynamics balances Data Fidelity and Interpretability
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Mean-Square Stability of Continuous-Time Stochastic Model Predictive Control
(2026)
URL: https://dcn.nat.fau.eu/wp-content/uploads/MPC-SLQ-251201.pdf
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Null control of heat equations with analytic memory kernels
(2026)
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Activation Saturation and Floquet Spectrum Collapse in Neural ODEs
(2026)
Open Access: https://doi.org/10.48550/arXiv.2604.00543
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Constrained control of gene-flow models
(2026)
DOI: 10.4171/aihpc/52
URL: https://dcn.nat.fau.eu/wp-content/uploads/ControlHeterogeneousV5.pdf
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LARGE-TIME ASYMPTOTICS OF THE REGULARIZED MOORE-GIBSON-THOMPSON EQUATION WITH GURTIN-PIPKIN THERMAL LAW
In: Discrete and Continuous Dynamical Systems. Series S (2026), p. 1-27
ISSN: 1937-1632
DOI: 10.3934/DCDSS.2026054
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Control of reaction-diffusion models in biology and social sciences
(2026)
DOI: 10.3934/mcrf.2022032
URL: https://dcn.nat.fau.eu/wp-content/uploads/NotesSichuan-DRuizBalet_EZuazua.pdf
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Neural ODE Control for Classification, Approximation and Transport
(2026)
URL: https://dcn.nat.fau.eu/wp-content/uploads/NeuralODEControl-RuizBaletZuazua.pdf
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Pattern control via diffusion interaction
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/RuizBalet_EZuazua_pattDiffCntrl.pdf
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A wave-type model for age- and space-structured epidemics
In: Nonlinear Analysis-Real World Applications 91 (2026), Article No.: 104612
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2026.104612
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Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems
(2026)
URL: https://arxiv.org/abs/2307.00296
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Control of a Lotka-Volterra system with weak competition
26 (2026), p. 27-62
DOI: 10.4310/CIS.260128103826
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Turnpike in optimal control and beyond: a survey
(2026)
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Stability and Convergence of a Randomized Model Predictive Control Strategy
Open Access: https://arxiv.org/abs/2211.05463
URL: https://arxiv.org/abs/2211.05463
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Local Stability and Convergence of Unconstrained Model Predictive Control
(2026)
Open Access: http://arxiv.org/abs/2206.01097
URL: http://arxiv.org/abs/2206.01097
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Reachable subspaces, control regions and heat equations with memory
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/reachableSubspaces-29jan2021-2101.10615.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/reachableSubspaces-29jan2021-2101.10615.pdf
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Approximate and Weighted Data Reconstruction Attack in Federated Learning
(2026)
URL: https://arxiv.org/abs/2308.06822
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Tracking controllability for finite-dimensional linear systems
(2026)
Open Access: http://arxiv.org/abs/2407.18641
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Control and Machine Learning
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/EZuazua_COIA_ControlnML.pdf
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Machine Learning and Control: Foundations, Advances, and Perspectives
ICM2026. International Congress of Mathematicians 2026 (Philadelphia, July 23, 2026 - July 30, 2026)
In: Susan Friedlander, Yuri Tschinkel (ed.): International Congress of Mathematicians 2026 2026
DOI: https://epubs.siam.org/doi/book/10.1137/1.ICM26
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Fourier series and sidewise profile control of 1-d waves
(2026)
Open Access: https://arxiv.org/abs/2308.04906
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Fourier series and sidewise profile control of 1-d waves
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf
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Machine Learning and Control: A Unified Perspective
BibTeX: Download - , , :
Constructive interpolation and generalization rates for Neural ODEs: a control perspective
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Cluster-based classification with neural ODEs via control
(2026)
DOI: 10.4208/jml.241114
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2025
- , , :
Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis
In: SIAM Journal on Mathematics of Data Science 7 (2025)
ISSN: 2577-0187
DOI: 10.1137/24M167086X
URL: https://arxiv.org/abs/2407.01602
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Gaussian Beam ansatz for finite difference wave equations
In: Foundations of Computational Mathematics 25 (2025), p. 1-54
ISSN: 1615-3375
DOI: 10.1007/s10208-023-09632-9
URL: https://dcn.nat.fau.eu/wp-content/uploads/WaveAnsatz.pdf
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Optimal control of quasilinear parabolic PDEs with gradient terms and pointwise constraints on the gradient of the state
In: Mathematical Control and Related Fields 15 (2025), p. 1284-1319
ISSN: 2156-8472
DOI: 10.3934/mcrf.2025037
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Control of Hyperbolic and Parabolic Equations on Networks and Singular limits
In: Vol 15, No. 1, Mathematical Control and Related Fields, 2025, p. 348-389
DOI: 10.3934/mcrf.2024015
URL: https://hal.science/hal-03233211
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On universal eigenvalues and eigenvectors of hypermatrices
In: Journal of the Franklin Institute-Engineering and Applied Mathematics 362 (2025), Article No.: 108126
ISSN: 0016-0032
DOI: 10.1016/j.jfranklin.2025.108126
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Observer-Based Realization of Control Systems
In: IEEE Transactions on Automatic Control (2025)
ISSN: 1558-2523
DOI: 10.1109/TAC.2025.3604656
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Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach
In: Journal De Mathematiques Pures Et Appliquees 202 (2025), Article No.: 103757
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2025.103757
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A new characterization of the dissipation structure and the relaxation limit for the compressible Euler-Maxwell system
In: Journal of Functional Analysis 289 (2025), Article No.: 110918
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2025.110918
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Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: Application to the nonlinearly damped p-system
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 42 (2025), p. 1165-1218
ISSN: 0294-1449
DOI: 10.4171/AIHPC/128
URL: https://arxiv.org/abs/2308.08280
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Numerical schemes for a fully nonlinear coagulation-fragmentation model coming from wave kinetic theory
In: Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 481 (2025)
ISSN: 1364-5021
DOI: 10.1098/rspa.2025.0197
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Pointwise constraints for scalar conservation laws with positive wave velocity
In: Zeitschrift für Angewandte Mathematik und Physik 76 (2025), Article No.: 111
ISSN: 0044-2275
DOI: 10.1007/s00033-025-02459-0
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Boundary sidewise observability of the wave equation
In: Journal of the European Mathematical Society (2025)
ISSN: 1435-9855
DOI: 10.4171/JEMS/1688
URL: https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua.pdf
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Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates
In: Nonlinear Analysis-Real World Applications 84 (2025), Article No.: 104298
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2024.104298
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Mini-batch descent in semiflows
In: Esaim-Control Optimisation and Calculus of Variations 31 (2025), Article No.: 28
ISSN: 1262-3377
DOI: 10.1051/cocv/2025018
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Optimal Lp-approximation of convex sets by convex subsets
In: Nonlinear Analysis - Theory Methods & Applications 261 (2025), Article No.: 113866
ISSN: 0362-546X
DOI: 10.1016/j.na.2025.113866
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Analysis and Numerics of Design, Control and Inverse Problems. Springer Nature Singapore
Springer Nature Singapore, 2025
(Springer INdAM Series)
ISBN: 978-981-96-6181-7
DOI: 10.1007/978-981-96-6182-4
URL: https://link.springer.com/book/10.1007/978-981-96-6182-4
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Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization
In: Applied Mathematics and Optimization 91 (2025), Article No.: 55
ISSN: 0095-4616
DOI: 10.1007/s00245-025-10250-w
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The Monotonicity of the Cheeger constant for Parallel Bodies
In: Journal of Optimization Theory and Applications 206 (2025), Article No.: 44
ISSN: 0022-3239
DOI: 10.1007/s10957-025-02727-z
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Boundary stabilization of quasi-linear hyperbolic systems with varying time delay
In: SIAM Journal on Control and Optimization 63 (2025), p. 452--471
ISSN: 0363-0129
DOI: 10.1137/24M1648570
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Stabilization of a cyclic network of strings by nodal control
In: Journal of Evolution Equations 25 (2025), Article No.: 4
ISSN: 1424-3199
DOI: 10.1007/s00028-024-01030-0
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The Exponential Turnpike Property for Neural Differential Equations
29th International Conference on Methods and Models in Automation and Robotics (MMAR) (Miedzyzdroje, August 26, 2025 - August 29, 2025)
In: 2025 29th International Conference on Methods and Models in Automation and Robotics (MMAR) 2025
DOI: 10.1109/MMAR65820.2025.11151091
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Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems
In: Journal of Scientific Computing (2025)
ISSN: 0885-7474
URL: https://link.springer.com/article/10.1007/s10915-025-03021-w#Bib1
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The Hidden Challenge in Heat Equation Control: Slow Decay of Gramian Eigenvalues
(2025)
Open Access: https://advanceseng.com/hidden-challenge-heat-equation-control-slow-decay-gramian-eigenvalues/
URL: https://advanceseng.com/hidden-challenge-heat-equation-control-slow-decay-gramian-eigenvalues/
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A mesh-independent method for second-order potential mean field games
In: IMA Journal of Numerical Analysis 45 (2025), p. 1226-1266
ISSN: 0272-4979
DOI: 10.1093/imanum/drae061
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Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics
In: Mathematical Models & Methods in Applied Sciences 35 (2025), p. 1471-1521
ISSN: 0218-2025
DOI: 10.1142/S0218202525500228
URL: https://arxiv.org/html/2412.01619v1
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Quantitative spectral stability for the Neumann Laplacian in domains with small holes
In: Journal of Functional Analysis (2025)
ISSN: 0022-1236
URL: https://www.sciencedirect.com/science/article/pii/S0022123624005056?via=ihub
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Diffusing the Blind Spot: Uterine MRI Synthesis with Diffusion Models
10th International Workshop on Skin Image Analysis, ISIC 2025 and 1st International Workshop on Computer-Aided Pelvic Imaging for Female Health, CAPI 2025, Held in Conjunction with 28th International Conference on Medical Imaging and Computer Assisted Intervention, MICCAI 2025 (Daejeon, September 23, 2025 - September 23, 2025)
In: M. Emre Celebi, Johanna Paula Müller, Catarina Barata, Allan Halpern, Philipp Tschandl, Marc Combalia, Yuan Liu, Kumar Abhishek, Joanna Jaworek-Korjakowska, Moi Hoon Yap, Katharina Breininger, Maximilian Lindholz, Jana Hutter, Richard Ruppel, Smiti Tripathy, Franziska Mathis-Ullrich, Stefanie Burghaus, Matthias May (ed.): Skin Image Analysis, and Computer-Aided Pelvic Imaging for Female Health. 10th International Workshop, ISIC 2025, and First International Workshop, CAPI 2025, Held in Conjunction with MICCAI 2025, Daejeon, South Korea, September 23, 2025, Proceedings, Cham: 2025
DOI: 10.1007/978-3-032-05825-6_9
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FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning
In: Neural Networks 181 (2025), Article No.: 106772
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2024.106772
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2024
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Internal heating profiles for which downward conduction is impossible
In: Journal of Fluid Mechanics 993 (2024)
ISSN: 0022-1120
DOI: 10.1017/jfm.2024.590
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Tracking Controllability for the Heat Equation
In: IEEETransactions on Automatic Control (2024)
ISSN: 0018-9286
DOI: 10.1109/TAC.2024.3476174
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Relaxation Approximation and Asymptotic Stability of Stratified Solutions to the IPM Equation
In: Archive for Rational Mechanics and Analysis 248 (2024), Article No.: 2
ISSN: 0003-9527
DOI: 10.1007/s00205-023-01945-x
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Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization
In: Journal of Nonlinear Science 34 (2024), Article No.: 8
ISSN: 0938-8974
DOI: 10.1007/s00332-023-09990-2
URL: https://arxiv.org/abs/2303.01483
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Data-driven discovery of invariant measures
In: Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 480 (2024), Article No.: 20230627
ISSN: 1364-5021
DOI: 10.1098/rspa.2023.0627
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Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings
In: Mathematical Models & Methods in Applied Sciences (2024)
ISSN: 0218-2025
DOI: 10.1142/S021820252450026X
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Quantitative derivation of a two-phase porous media system from the one-velocity Baer-Nunziato and Kapila systems
In: Nonlinearity 37 (2024), Article No.: 075002
ISSN: 0951-7715
DOI: 10.1088/1361-6544/ad3f66
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Improved higher-order finite-volume scheme and its convergence analysis for collisional breakage equation
In: Applied Numerical Mathematics 196 (2024), p. 118-132
ISSN: 0168-9274
DOI: 10.1016/j.apnum.2023.10.010
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Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations
In: Zeitschrift für Angewandte Mathematik und Physik 75 (2024), Article No.: 125
ISSN: 0044-2275
DOI: 10.1007/s00033-024-02264-1
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Fractional Hardy–Rellich inequalities via integration by parts
In: Nonlinear Analysis - Theory Methods & Applications 243 (2024), Article No.: 113478
ISSN: 0362-546X
DOI: 10.1016/j.na.2023.113478
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INTERFACE PROPAGATION PROPERTIES FOR A NONLOCAL THIN-FILM EQUATION
In: SIAM Journal on Mathematical Analysis 56 (2024), p. 173-196
ISSN: 0036-1410
DOI: 10.1137/22M1510297
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Finite Element Approximation of the Hardy Constant
In: Journal of Convex Analysis 31 (2024), p. 497-523
ISSN: 0944-6532
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Stability analysis of the Navier–Stokes velocity tracking problem with bang-bang controls
In: Journal of Optimization Theory and Applications (2024)
ISSN: 0022-3239
DOI: 10.1007/s10957-024-02413-6
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Stability and Genericity of Bang-Bang Controls in Affine Problems
In: SIAM Journal on Control and Optimization 62 (2024), p. 1669-1689
ISSN: 0363-0129
DOI: 10.1137/23M1586446
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Global minimization of polynomial integral functionals
In: SIAM Journal on Scientific Computing 46 (2024)
ISSN: 1064-8275
DOI: 10.1137/23M1592584
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Cognitive Component of Development of the Innovative Diffusion of the Socio-Economic Systems
Conference on Integrated Computer Technologies in Mechanical Engineering – Synergetic Engineering, ICTM 2023 (Kharkiv, December 27, 2023 - December 29, 2023)
In: Mykola Nechyporuk, Volodymir Pavlikov, Dmytro Krytskyi (ed.): Integrated Computer Technologies in Mechanical Engineering - 2023. Synergetic Engineering, Volume 2, Cham: 2024
DOI: 10.1007/978-3-031-60549-9_2
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Criterion of the global solvability of regular and singular differential-algebraic equations
In: Journal of Mathematical Sciences (2024)
ISSN: 1072-3374
DOI: 10.1007/s10958-024-07152-7
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Sharp inequalities involving the Cheeger constant of planar convex sets
In: Esaim-Control Optimisation and Calculus of Variations 30 (2024), Article No.: 23
ISSN: 1262-3377
DOI: 10.1051/cocv/2024015
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Optimal Placement and Shape Design of Sensors via Geometric Criteria
2024 European Control Conference, ECC 2024 (Stockholm, SWE, June 25, 2024 - June 28, 2024)
In: 2024 European Control Conference, ECC 2024, Stockholm, Sweden: 2024
DOI: 10.23919/ECC64448.2024.10591236
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New Lyapunov functions for systems with source terms
In: Control and Cybernetics 53 (2024), p. 163-187
ISSN: 0324-8569
DOI: 10.2478/candc-2024-008
URL: https://sciendo.com/de/article/10.2478/candc-2024-0008
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The Finite-Time Turnpike Property in Machine Learning
In: MDPI Machines 12 (2024), Article No.: 705
ISSN: 2075-1702
DOI: 10.3390/machines12100705
URL: https://www.mdpi.com/2075-1702/12/10/705
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An Observer for Pipeline Flow with Hydrogen Blending in Gas Networks: Exponential Synchronization
In: SIAM Journal on Control and Optimization 62 (2024), p. 2273-2296
ISSN: 0363-0129
DOI: 10.1137/23M1563840
URL: https://epubs.siam.org/doi/10.1137/23M1563840
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Observer-based data assimilation for barotropic gas transport using distributed measurements
In: Communications in Mathematical Sciences 22 (2024), p. 2271-2309
ISSN: 1539-6746
DOI: 10.4310/CMS.240918203214
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System State Estimation for Gas Flows Using Observers Based on Density Measurements
In: Carlos Parés, Manuel J. Castro, Tomás Morales de Luna, María Luz Muñoz-Ruiz (ed.): Hyperbolic Problems: Theory, Numerics, Applications. Volume II, Cham, Switzerland: Springer Nature, 2024, p. 359-369 (SEMA SIMAI Springer Series, Vol.Volume 35)
DOI: 10.1007/978-3-031-55264-9_31
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The turnpike property for mean-field optimal control problems
In: European Journal of Applied Mathematics (2024), p. 1-15
ISSN: 0956-7925
DOI: 10.1017/S0956792524000044
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The turnpike property for high-dimensional interacting agent systems in discrete time
In: Optimal Control Applications & Methods (2024)
ISSN: 0143-2087
DOI: 10.1002/oca.3172
URL: https://onlinelibrary.wiley.com/doi/10.1002/oca.3172
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The location problem for compressor stations in pipeline networks
In: Mathematics and Mechanics of Complex Systems 12 (2024), p. 507–546
ISSN: 2326-7186
DOI: 10.2140/memocs.2024.12.507
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Network Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation
In: Journal of Geometric Analysis 34 (2024), Article No.: 273
ISSN: 1050-6926
DOI: 10.1007/s12220-024-01712-8
URL: https://link.springer.com/article/10.1007/s12220-024-01712-8
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Constrained exact boundary controllability of a quasilinear model for pipeline gas flow
In: Applicable Analysis (2024)
ISSN: 0003-6811
DOI: 10.1080/00036811.2024.2432529
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Hölder regularity for domains of fractional powers of elliptic operators with mixed boundary conditions
In: Pure and Applied Functional Analysis 9 (2024), p. 169-194
ISSN: 2189-3764
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Uniform Turnpike Property and Singular Limits
DOI: 10.1007/s10440-024-00640-7
URL: https://link.springer.com/article/10.1007/s10440-024-00640-7
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GLOBAL-IN-TIME SOLUTIONS AND HÖLDER CONTINUITY FOR QUASILINEAR PARABOLIC PDES WITH MIXED BOUNDARY CONDITIONS IN THE BESSEL DUAL SCALE
In: Evolution Equations and Control Theory 13 (2024), p. 1250-1286
ISSN: 2163-2480
DOI: 10.3934/eect.2024025
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Eigenvalue bounds for the Gramian operator of the heat equation
In: Automatica 164 (2024), p. 111-653
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2024.111653
URL: https://dcn.nat.fau.eu/wp-content/uploads/2nd_version-gram-lyapunov-autom.pdf
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Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements
In: Mathematical Methods in the Applied Sciences (2024), p. 1-32
ISSN: 0170-4214
DOI: 10.1002/mma.10251
URL: https://dcn.nat.fau.eu/wp-content/uploads/optimalCtrlApproach.pdf
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Analysis of a thermoelastic problem with the Moore–Gibson–Thompson microtemperatures
In: Journal of Computational and Applied Mathematics 438 (2024), Article No.: 115571
ISSN: 0377-0427
DOI: 10.1016/j.cam.2023.115571
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On the Double Moore–Gibson–Thompson System of Thermoviscoelasticity
In: Studies in Applied Mathematics (2024)
ISSN: 0022-2526
DOI: 10.1111/sapm.12784
URL: https://onlinelibrary.wiley.com/doi/10.1111/sapm.12784
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A variational approach to Continuous Time Dynamic Models
In: Mark Stemmler, Wolfgang Wiedermann, Francis Huang (ed.): Dependent Data in Social Sciences Research - Forms, Issues and Methods of Analysis (second edition), Cham: Springer, 2024
ISBN: 978-3-031-56317-1
DOI: 10.1007/978-3-031-56318-8_5
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Control of neural transport for normalising flows
In: Journal De Mathematiques Pures Et Appliquees 181 (2024), p. 58-90
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2023.10.005
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Optimal Neumann control of the wave equation with L1-control cost: the finite-time turnpike property
In: Optimization (2024)
ISSN: 0233-1934
DOI: 10.1080/02331934.2024.2373904
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THE ADMM-PINNS ALGORITHMIC FRAMEWORK FOR NONSMOOTH PDE-CONSTRAINED OPTIMIZATION: A DEEP LEARNING APPROACH
In: SIAM Journal on Scientific Computing 46 (2024), p. C659-C687
ISSN: 1064-8275
DOI: 10.1137/23M1566935
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Stability and Convergence of a Randomized Model Predictive Control Strategy
In: IEEE Transactions on Automatic Control (2024), p. 1-8
ISSN: 1558-2523
DOI: 10.1109/TAC.2024.3375253
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Observability for heat equations with time-dependent analytic memory
In: Archive for Rational Mechanics and Analysis 248 (2024)
ISSN: 0003-9527
DOI: 10.1007/s00205-024-02058-9
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An Augmented Lagrangian Method for State Constrained Linear Parabolic Optimal Control Problems
In: Journal of Optimization Theory and Applications (2024)
ISSN: 0022-3239
DOI: 10.1007/s10957-024-02494-3
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Exact Controllability and Stabilization of the Wave Equation
Cham: Springer Nature, 2024
(UNITEXT - La Matematica per il 3 piu 2, Vol.162)
ISBN: 978-3-031-58857-0
DOI: 10.1007/978-3-031-58857-0
URL: https://link.springer.com/book/10.1007/978-3-031-58857-0
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Fourier series and sidewise control of 1-d waves
2024
(Volume in honor of Yves Meyer, Documents Mathématiques of the French Mathematical Society (SMF), Vol. 22)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf
URL: https://arxiv.org/abs/2308.04906
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Progress and future directions in machine learning through control theory
FGS 2024. French-German-Spanish Conference on Optimization (Gijon, Spain, June 18, 2024 - June 21, 2024)
In: Proceedings FGS 20204 2024
Open Access: https://digibuo.uniovi.es/dspace/handle/10651/74691
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Interplay between depth and width for interpolation in neural ODEs
In: Neural Networks 180 (2024), Article No.: 106640
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2024.106640
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2023
- , , , :
Rigorous scaling laws for internally heated convection at infinite Prandtl number
In: Journal of Mathematical Physics 64 (2023), Article No.: 023101
ISSN: 0022-2488
DOI: 10.1063/5.0098250
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A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation
In: Inverse Problems (2023)
ISSN: 0266-5611
DOI: 10.48550/arXiv.2202.01589
URL: https://arxiv.org/abs/2202.01589
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Multilevel control by duality
In: Systems & Control Letters 175 (2023), Article No.: 105502
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2023.105502
URL: https://arxiv.org/abs/2109.02346
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Pressure-relaxation limit for a one-velocity Baer-Nunziato model to a Kapila model
In: Mathematical Models & Methods in Applied Sciences (2023)
ISSN: 0218-2025
DOI: 10.1142/S0218202523500161
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A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 40 (2023), p. 1205-1223
ISSN: 0294-1449
DOI: 10.4171/AIHPC/58
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Long-time convergence of a nonlocal Burgers' equation towards the local N-wave
In: Nonlinearity (2023)
ISSN: 0951-7715
DOI: 10.1088/1361-6544/acf01d
URL: https://iopscience.iop.org/article/10.1088/1361-6544/acf01d
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Uncertainty propagation for nonlinear dynamics: A polynomial optimization approach
American Control Conference (ACC) (San Diego, CA, May 31, 2023 - June 2, 2023)
In: IEEE (ed.): 2023 American Control Conference (ACC) 2023
DOI: 10.23919/ACC55779.2023.10156169
URL: https://arxiv.org/abs/2209.07432
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Diffusive relaxation limit of the multi-dimensional Jin-Xin system
In: Journal of Differential Equations 357 (2023), p. 302-331
ISSN: 0022-0396
DOI: 10.1016/j.jde.2023.02.015
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Trend to equilibrium solution for the discrete Safronov-Dubovskiĭ aggregation equation with forcing
In: Proceedings of the Royal Society of Edinburgh Section A-Mathematics (2023)
ISSN: 0308-2105
DOI: 10.1017/prm.2023.116
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Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension
In: Calculus of Variations and Partial Differential Equations 62 (2023)
ISSN: 0944-2669
DOI: 10.1007/s00526-023-02446-1
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Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion
In: Journal of Functional Analysis 285 (2023), Article No.: 110093
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2023.110093
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On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov Methods
In: Vietnam Journal of Mathematics (2023)
ISSN: 0866-7179
DOI: 10.1007/s10013-022-00598-9
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New Assumptions for Stability Analysis in Elliptic Optimal Control Problems
In: SIAM Journal on Control and Optimization 61 (2023), p. 1394-1414
ISSN: 0363-0129
DOI: 10.1137/22M149199X
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On the solution stability of parabolic optimal control problems
In: Computational Optimization and Applications (2023)
ISSN: 0926-6003
DOI: 10.1007/s10589-023-00473-4
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Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws
In: Nonlinear Analysis: Hybrid Systems 227 (2023)
ISSN: 1751-570X
DOI: 10.1016/j.na.2022.113167
URL: https://dcn.nat.fau.eu/wp-content/uploads/reachableHamiltonJacobi-cEsteveY-eZuazua-2203.04731.pdf
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Convex Relaxations of Integral Variational Problems: Pointwise Dual Relaxation and Sum-of-Squares Optimization
In: SIAM Journal on Optimization (2023)
ISSN: 1052-6234
DOI: 10.1137/21m1455127
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Initial-boundary value problem for the Maxwell-Bloch equations with an arbitrary inhomogeneous broadening and periodic boundary function
In: Symmetry Integrability and Geometry-Methods and Applications 19 (2023), p. 1-39
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2023.096
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Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
In: Journal of Mathematical Physics Analysis Geometry 19 (2023), p. 719-765
ISSN: 1812-9471
DOI: 10.15407/mag19.04.719
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Optimal design of sensors via geometric criteria
In: Journal of Geometric Analysis 33 (2023)
ISSN: 1050-6926
DOI: 10.1007/s12220-023-01301-1
URL: https://link.springer.com/article/10.1007/s12220-023-01301-1
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Constrained exact boundary controllability of a semilinear model for pipeline gas flow
In: European Journal of Applied Mathematics (2023), p. 1-22
ISSN: 0956-7925
DOI: 10.1017/S0956792522000389
URL: https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/abs/constrained-exact-boundary-controllability-of-a-semilinear-model-for-pipeline-gas-flow/FD1A8672AEC80D0C3CA20780787E45A7
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A Turnpike Property for Optimal Control Problems with Dynamic Probabilistic Constraints
In: Journal of Convex Analysis 30 (2023), p. 1025--1052
ISSN: 0944-6532
URL: https://www.heldermann.de/JCA/JCA30/JCA303/jca30047.htm
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Turnpike properties of optimal boundary control problems with random linear hyperbolic systems
In: Esaim-Control Optimisation and Calculus of Variations 29 (2023), Article No.: 55
ISSN: 1292-8119
DOI: 10.1051/cocv/2023051
URL: https://www.esaim-cocv.org/articles/cocv/abs/2023/01/cocv220028/cocv220028.html
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Limits of stabilization of a networked hyperbolic system with a circle
In: Control and Cybernetics 52 (2023), p. 79-121
ISSN: 0324-8569
DOI: 10.2478/candc-2023-0033
URL: http://control.ibspan.waw.pl:3000/contents/list?year=2023
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Turnpike properties for partially uncontrollable systems
In: Automatica 149 (2023)
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2022.110844
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Optimal Control Problems without Terminal Constraints: The Turnpike Property with Interior Decay
In: International Journal of Applied Mathematics and Computer Science 33 (2023), p. 429–438
ISSN: 1641-876X
DOI: 10.34768/amcs-2023-0031
URL: https://www.amcs.uz.zgora.pl/?action=paper&paper=1715
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Topological derivative method for control of wave equation on networks
27th International Conference on Methods and Models in Automation and Robotics (MMAR) (Międzyzdroje, August 22, 2023 - August 25, 2023)
In: IEEE Xplore (ed.): 2023 27th International Conference on Methods and Models in Automation and Robotics 2023
DOI: 10.1109/MMAR58394.2023.10242484
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A Dynamic Multilevel Model of the European Gas Market
In: Communications in Optimization Theory 11 (2023), p. 1-26
ISSN: 2051-2953
DOI: 10.23952/cot.2023.11
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An aspect of the turnpike property. Long time horizon behavior
In: Serdica Mathematical Journal 49 (2023), p. 127-154
ISSN: 1310-6600
DOI: 10.55630/serdica.2023.49.127-154
URL: https://serdica.math.bas.bg/index.php/serdica/article/view/39
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A note on the volume conserving solution to simultaneous aggregation and collisional breakage equation
In: Axioms (2023)
ISSN: 2075-1680
DOI: 10.3390/axioms12020181
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Greedy search of optimal approximate solutions
In: Pure and Applied Functional Analysis 8 (2023), p. 547-564
ISSN: 2189-3764
Open Access: http://yokohamapublishers.jp/online2/oppafa/vol8/p547.html
URL: https://dcn.nat.fau.eu/wp-content/uploads/greedy-solving-systems.pdf
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Lattice structure design optimization under localized linear buckling constraints
In: Computers & Structures 286 (2023), Article No.: 107112
ISSN: 0045-7949
DOI: 10.1016/j.compstruc.2023.107112
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ANALYSIS AND NUMERICAL SOLVABILITY OF BACKWARD-FORWARD CONSERVATION LAWS
In: SIAM Journal on Mathematical Analysis 55 (2023), p. 1949-1968
ISSN: 0036-1410
DOI: 10.1137/22M1478720
BibTeX: Download - Liverani L., Mammeri Y., Pata V., Quintanilla R.:
On the linearized Whitham-Broer-Kaup system on bounded domains
In: Proceedings of the Royal Society of Edinburgh Section A-Mathematics (2023)
ISSN: 0308-2105
DOI: 10.1017/prm.2023.85
BibTeX: Download - Conti M., Liverani L., Pata V.:
On the Moore-Gibson-Thompson Equation with Memory with Nonconvex Kernels
In: Indiana University Mathematics Journal 72 (2023), p. 1-27
ISSN: 0022-2518
DOI: 10.1512/iumj.2023.72.9330
BibTeX: Download - Dell’Oro F., Liverani L., Pata V.:
On the Regularized Moore-Gibson-Thompson Equation
In: Discrete and Continuous Dynamical Systems. Series S 16 (2023), p. 2326-2338
ISSN: 1937-1632
DOI: 10.3934/dcdss.2023025
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Thermoelasticity with temperature and microtemperatures with fading memory
In: Mathematics and Mechanics of Solids 28 (2023), p. 1255-1273
ISSN: 1081-2865
DOI: 10.1177/10812865221115359
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Constrained control of gene-flow models
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 40 (2023), p. 717-766
ISSN: 0294-1449
DOI: 10.4171/AIHPC/52
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ILIAS in der Ingenieursmathematik nutzen
22. Internationale ILIAS-Konferenz (Köln, September 7, 2023 - September 8, 2023)
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Neural ODE Control for Classification, Approximation, and Transport
In: SIAM Review 65 (2023), p. 735-773
ISSN: 0036-1445
DOI: 10.1137/21M1411433
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A numerical approach to the optimal control of thermally convective flows
In: Journal of Computational Physics (2023)
ISSN: 0021-9991
URL: https://arxiv.org/abs/2211.15302
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A quantitative analysis of Koopman operator methods for system identification and predictions
In: Comptes Rendus Mecanique 351 (2023), p. 1-31
ISSN: 1631-0721
DOI: 10.5802/crmeca.138
URL: https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.138/
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2022
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Differentiability in Measure of the Flow Associated with a Nearly Incompressible BV Vector Field
In: Archive for Rational Mechanics and Analysis (2022)
ISSN: 0003-9527
DOI: 10.1007/s00205-022-01820-1
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Control and Numerical approximation of Fractional Diffusion Equations
In: Handbook of Numerical Analysis (2022), Article No.: 1570-8659
ISSN: 1570-8659
DOI: 10.1016/bs.hna.2021.12.001
URL: https://dcn.nat.fau.eu/wp-content/uploads/BiccariWarmaZuazua_fractionalControl.pdf
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Multilevel Selective Harmonic Modulation by Duality
In: IFAC-PapersOnLine (2022), p. 56-61
ISSN: 1474-6670
DOI: 10.1016/j.ifacol.2022.08.081
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CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
2022
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On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels
In: Zeitschrift für Angewandte Mathematik und Physik 73 (2022), Article No.: 241
ISSN: 0044-2275
DOI: 10.1007/s00033-022-01766-0
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CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
In: Mathematical Reports 24 (2022), p. 1-2
ISSN: 1582-3067
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Existence and Uniqueness of Mass Conserving Solutions to the Coagulation, Multi-fragmentation Equations with Compactly Supported Kernels
In: Santanu Saha Ray, H. Jafari, T. Raja Sekhar, Suchandan Kayal (ed.): Applied Analysis, Computation and Mathematical Modelling in Engineering, Springer, 2022 (Lecture Notes in Electrical Engineering, Vol.897)
DOI: 10.1007/978-981-19-1824-7_22
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On the mass conserving solutions to the singular kernel coagulation with multi fragmentation
In: Japan Journal of Industrial and Applied Mathematics 40 (2022), p. 563-588
ISSN: 0916-7005
DOI: 10.1007/s13160-022-00544-9
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The discrete Safronov-Dubovskiı̌ aggregation equation: Instantaneous gelation and nonexistence theorem
In: Journal of Mathematical Analysis and Applications 514 (2022), Article No.: 126310
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2022.126310
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Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation
In: Communications in Partial Differential Equations (2022)
ISSN: 0360-5302
DOI: 10.1080/03605302.2022.2056702
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On Liouville-type theorems for the 2D stationary MHD equations
In: Nonlinearity 35 (2022), p. 870-888
ISSN: 0951-7715
DOI: 10.1088/1361-6544/ac3f8b
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Hölder regularity in bang-bang type affine optimal control problems
In: Large-scale scientific computing 2022
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On the accuracy of the model predictive control method
In: SIAM Journal on Control and Optimization 60 (2022), p. 2469--2487
ISSN: 0363-0129
DOI: 10.1137/21M1460430
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Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations
In: Esaim-Control Optimisation and Calculus of Variations 28 (2022), p. Paper No. 79, 30
ISSN: 1262-3377
DOI: 10.1051/cocv/2022075
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Turnpike in Lipschitz-nonlinear optimal control
In: Nonlinearity 5 (2022), p. 1652-1701
ISSN: 0951-7715
DOI: 10.1088/1361-6544/ac4e61
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The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems
In: Mathematics of Control Signals and Systems (2022)
ISSN: 0932-4194
DOI: 10.1007/s00498-022-00325-2
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Differentiability with respect to the initial condition for Hamilton-Jacobi equations
In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5388-5423
ISSN: 0036-1410
DOI: 10.1137/22M1469353
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Differentiability With Respect To The Initial Condition For Hamilton-jacobi Equations
In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5388-5423
ISSN: 0036-1410
DOI: 10.1137/22M1469353
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Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains
In: Communications in Contemporary Mathematics (2022)
ISSN: 0219-1997
DOI: 10.1142/S0219199722500547
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On a Pólya's inequality for planar convex sets
In: Comptes Rendus Mathematique 360 (2022), p. 241-246
ISSN: 1631-073X
DOI: 10.5802/crmath.292
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WHERE TO PLACE A SPHERICAL OBSTACLE SO AS TO MAXIMIZE THE FIRST NONZERO STEKLOV EIGENVALUE
In: Esaim-Control Optimisation and Calculus of Variations 28 (2022)
ISSN: 1292-8119
DOI: 10.1051/cocv/2021109
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The diagram (λ 1 , µ 1 )
In: Mathematical Reports (2022)
ISSN: 1582-3067
Open Access: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/9.pdf
URL: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/9.pdf
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THE DIAGRAM (λ1, μ1)
In: Mathematical Reports 24(74) (2022), p. 159-177
ISSN: 1582-3067
URL: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/9.pdf
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AN ISOPERIMETRIC INEQUALITY FOR THE FIRST STEKLOV-DIRICHLET LAPLACIAN EIGENVALUE OF CONVEX SETS WITH A SPHERICAL HOLE
In: Pacific Journal of Mathematics 320 (2022), p. 241-259
ISSN: 0030-8730
DOI: 10.2140/pjm.2022.320.241
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Weak-strong uniqueness for heat conducting non-Newtonian incompressible fluids
In: Nonlinear Analysis-Real World Applications 68 (2022)
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2022.103664
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Optimal actuator design via Brunovsky’s normal form
In: IEEE Transactions on Automatic Control 26 (2022)
ISSN: 1558-2523
DOI: 10.1109/TAC.2022.3181222
URL: https://dcn.nat.fau.eu/wp-content/uploads/2108.05629.pdf
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Turnpike in optimal control of PDEs, ResNets, and beyond
In: Acta Numerica 31 (2022), p. 135-263
ISSN: 0962-4929
DOI: 10.1017/S0962492922000046
URL: https://www.cambridge.org/core/journals/acta-numerica/article/abs/turnpike-in-optimal-control-of-pdes-resnets-and-beyond/A5A8337380F0AC79BD20773659C5DFC8#access-block
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Linear projection-based CEST parameter estimation
In: NMR in Biomedicine (2022)
ISSN: 0952-3480
DOI: 10.1002/nbm.4697
URL: https://analyticalsciencejournals.onlinelibrary.wiley.com/doi/epdf/10.1002/nbm.4697
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Optimal boundary control of the wave equation: the finite-time turnpike phenomenon
In: Mathematical Reports 24 (2022), p. 179-186
ISSN: 1582-3067
Open Access: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/10.pdf
URL: http://imar.ro/journals/Mathematical_Reports/Pdfs/2022/1-2/10.pdf
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Limits of stabilizability for a semilinear model for gas pipeline flow
In: Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler und Emmanuel Trélat (ed.): Optimization and Control for Partial Differential Equations, De Gruyter, 2022, p. 59-71 (Radon Series on Computational and Applied Mathematics, Vol.29)
ISBN: 9783110695984
DOI: 10.1515/9783110695984-003
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Modeling, control, and numerics of gas networks
In: E. Trelat, E. Zuazua (ed.): Handbook of Numerical Analysis, Elsevier, 2022 (Handbook of Numerical Analysis)
DOI: 10.1016/bs.hna.2021.12.002
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Probabilistic constrained optimization on flow networks
In: Optimization and Engineering 23 (2022), p. 1--50
ISSN: 1389-4420
DOI: 10.1007/s11081-021-09619-x
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On problems of dynamic optimal nodal control for gas networks
In: Pure and Applied Functional Analysis 5 (2022), p. 1699-1715
ISSN: 2189-3764
URL: http://yokohamapublishers.jp/online2/oppafa/vol7/p1699.html
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Optimal Control for ODEs and PDEs: The Turnpike Phenomenon
65th Joint Conference on Automatic Control (Utsunomiya, November 12, 2022 - November 13, 2022)
In: Extended Abstracts of the 65th Joint Conference on Automatic Control 2022
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AVERAGED TURNPIKE PROPERTY FOR DIFFERENTIAL EQUATIONS WITH RANDOM CONSTANT COEFFICIENTS
In: Mathematical Control and Related Fields (2022)
ISSN: 2156-8472
DOI: 10.3934/mcrf.2022016
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An energy-based vibration model for beam bridges with multiple constraints
In: Structural Engineering and Mechanics 82 (2022), p. 41-53
ISSN: 1225-4568
DOI: 10.12989/sem.2022.82.1.041
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The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term
In: Numerische Mathematik (2022)
ISSN: 0029-599X
DOI: 10.1007/s00211-021-01257-w
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The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term
In: Numerische Mathematik (2022)
ISSN: 0029-599X
DOI: 10.1007/s00211-021-01257-w
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Initial data identification for the one-dimensional Burgers equation
In: IEEE Transactions on Automatic Control 67 (2022), p. 3098-3104
ISSN: 1558-2523
DOI: 10.1109/TAC.2021.3096921
URL: https://ieeexplore.ieee.org/document/9484713
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Erratum: THERMOELASTICITY WITH ANTIDISSIPATION (Discrete and Continuous Dynamical Systems - Series S (2022) 15:8 (2173-2188))
In: Discrete and Continuous Dynamical Systems. Series S 15 (2022), p. 2429-2431
ISSN: 1937-1632
DOI: 10.3934/dcdss.2022125
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On the Optimal Decay Rate of the Weakly Damped Wave Equation
In: Communications on Pure and Applied Analysis 21 (2022), p. 3421-3424
ISSN: 1534-0392
DOI: 10.3934/cpaa.2022107
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Spectral Analysis and Stability of the Moore-Gibson-Thompson-Fourier Model
In: Journal of Dynamics and Differential Equations (2022)
ISSN: 1040-7294
DOI: 10.1007/s10884-022-10164-z
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Thermoelasticity with Antidissipation
In: Discrete and Continuous Dynamical Systems. Series S 15 (2022), p. 2173-2188
ISSN: 1937-1632
DOI: 10.3934/dcdss.2022040
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Examples of JSXGraph 3D for Engineering Math
3. International JSXGraph Conference (Online, October 4, 2022 - October 6, 2022)
URL: https://jsxgraph.org/conf2022/program/
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Interpolation and approximation via Momentum ResNets and Neural ODEs
In: IEEE Control Systems Letters 162 (2022)
ISSN: 2475-1456
DOI: 10.1016/j.sysconle.2022.105182
URL: https://dcn.nat.fau.eu/wp-content/uploads/InterpolationResNets.pdf
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Control of certain parabolic models from biology and social sciences
In: Mathematical Control and Related Fields 12 (2022), p. 955-1038
ISSN: 2156-8472
DOI: 10.3934/mcrf.2022032
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Sidewise control of 1-d waves
In: Journal of Optimization Theory and Applications 193 (2022), p. 931–949
ISSN: 0022-3239
DOI: 10.1007/s10957-021-01986-w
URL: https://dcn.nat.fau.eu/wp-content/uploads/Sarac-Zuazua_Revised-version.pdf
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Sidewise Profile Control of 1-D Waves
In: Journal of Optimization Theory and Applications (2022)
ISSN: 0022-3239
DOI: 10.1007/s10957-021-01986-w
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Max-p Optimal Boundary Control of Gas Flow
25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022) (Bayreuth, September 12, 2022 - September 16, 2022)
In: Baumann, Michael Heinrich; Grüne, Lars; Jacob, Birgit; Worthmann, Karl (ed.): Extended Abstracts presented at the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022 2022
DOI: 10.15495/EPub_UBT_00006809
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Numerical Control: Part A
In: Emmanuel Trélat, Enrique Zuazua (ed.): Numerical Control: Part A, North Holland: Elsevier Science & Technology, 2022, p. 1-558
ISBN: 9780323853392
DOI: 10.1016/s1570-8659(22)x0002-1
URL: https://www.elsevier.com/books/numerical-control-part-a/trelat/978-0-323-85059-9
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A framework for randomized time-splitting in linear-quadratic optimal control
In: Numerische Mathematik 151 (2022), p. 495–549
ISSN: 0029-599X
DOI: 10.1007/s00211-022-01290-3
URL: https://link.springer.com/article/10.1007/s00211-022-01290-3
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INTERNAL RAPID STABILIZATION OF A 1-D LINEAR TRANSPORT EQUATION WITH A SCALAR FEEDBACK
In: Mathematical Control and Related Fields 12 (2022), p. 169-200
ISSN: 2156-8472
DOI: 10.3934/mcrf.2021006
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Control and Machine Learning
In: SIAM News 55 (2022)
ISSN: 1557-9573
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SLOW DECAY AND TURNPIKE FOR INFINITE-HORIZON HYPERBOLIC LINEAR QUADRATIC PROBLEMS
In: SIAM Journal on Control and Optimization 60 (2022), p. 2440-2468
ISSN: 0363-0129
DOI: 10.1137/21M1441985
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2021
- , , , :
Large Time Convergence of the Non-homogeneous Goldstein-Taylor Equation
In: Journal of Statistical Physics 182 (2021), Article No.: 41
ISSN: 0022-4715
DOI: 10.1007/s10955-021-02702-8
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Boundary Controllability and Asymptotic Stabilization of a Nonlocal Traffic Flow Model
In: Vietnam Journal of Mathematics (2021)
ISSN: 0866-7179
DOI: 10.1007/s10013-021-00506-7
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Averaged dynamics and control for heat equations with random diffusion
In: Systems & Control Letters 158 (2021), Article No.: 105055
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2021.105055
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Control of noise-induced coherent oscillations in three-neuron motifs
In: Cognitive Neurodynamics 16 (2021), p. 941-960
ISSN: 1871-4080
DOI: 10.1007/s11571-021-09770-2
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Vanishing viscosity for a 2 x 2 system modeling congested vehicular traffic
In: Networks and Heterogeneous Media 16 (2021), p. 413-426
ISSN: 1556-1801
DOI: 10.3934/nhm.2021011
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Singular limits with vanishing viscosity for nonlocal conservation laws
In: Nonlinear Analysis - Theory Methods & Applications 211 (2021), Article No.: 112370
ISSN: 0362-546X
DOI: 10.1016/j.na.2021.112370
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Singular limits with vanishing viscosity for nonlocal conservation laws
In: Nonlinear Analysis - Theory Methods & Applications (2021)
ISSN: 0362-546X
DOI: 10.1016/j.na.2021.112370
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An application of semigroup theory to the coagulation-fragmentation models
In: Turkish Journal of Mathematics 45 (2021)
ISSN: 1300-0098
DOI: 10.3906/mat-2101-114
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On the global solutions of discrete Safronov–Dubovskiǐ aggregation equation
In: Zeitschrift für Angewandte Mathematik und Physik 72 (2021), Article No.: 183
ISSN: 0044-2275
DOI: 10.1007/s00033-021-01612-9
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Strong bi-metric regularity in affine optimal control problems
In: Pure and Applied Functional Analysis 6 (2021), p. 1119--1137
ISSN: 2189-3764
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On the Cheeger inequality for convex sets
In: Journal of Mathematical Analysis and Applications (2021)
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2021.125443
URL: https://hal.science/hal-03006015/document
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Blaschke–Santaló diagram for volume, perimeter and first Dirichlet eigenvalue.
In: SIAM Journal on Mathematical Analysis (2021)
ISSN: 0036-1410
DOI: 10.1137/20M1345396
URL: https://hal.science/hal-02850711v2/document
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A semismooth newton method for implicitly constituted non-newtonian fluids and its application to the numerical approximation of bingham flow
In: Mathematical Modelling and Numerical Analysis 55 (2021), p. 2679-2703
ISSN: 0764-583X
DOI: 10.1051/m2an/2021068
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A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow
In: Mathematical Modelling and Numerical Analysis 55 (2021), p. 2679 - 2703
ISSN: 0764-583X
DOI: 10.1051/m2an/2021068
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Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow
In: Mathematics of Computation (2021)
ISSN: 0025-5718
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Controllability of one-dimensional viscous free boundary flows
In: SIAM Journal on Control and Optimization 59 (2021), p. 1830-1850
ISSN: 0363-0129
DOI: 10.1137/19M1285354
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On the turnpike property with interior decay for optimal control problems
In: Mathematics of Control Signals and Systems (2021)
ISSN: 0932-4194
DOI: 10.1007/s00498-021-00280-4
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Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks
In: IMA Journal of Mathematical Control and Information (2021)
ISSN: 0265-0754
DOI: 10.1093/imamci/dnab029
URL: https://academic.oup.com/imamci/advance-article/doi/10.1093/imamci/dnab029/6371370
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Transient gas pipeline flow: analytical examples, numerical simulation and a comparison to the quasi-static approach
In: Optimization and Engineering (2021)
ISSN: 1389-4420
DOI: 10.1007/s11081-021-09690-4
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The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking Terms
In: Grigory Sklyar, Alexander Zuyev (ed.): Stabilization of Distributed Parameter Systems: Design Methods and Applications, Springer Science and Business Media Deutschland GmbH, 2021, p. 17-41 (SEMA SIMAI Springer Series, Vol.2)
ISBN: 978-3-030-61742-4
DOI: 10.1007/978-3-030-61742-4_2
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Nodal Stabilization of the Flow in a Network with a Cycle
In: Journal of Optimization, Differential Equations and Their Applications (2021)
ISSN: 2312-4547
DOI: 10.15421/1421O6
URL: https://model-dnu.dp.ua/index.php/SM/article/view/159/0
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The Finite-Time Turnpike Phenomenonfor Optimal Control Problems:Stabilization by Non-smooth TrackingTerms
In: Grigory Sklyar, Alexander Zuyev (ed.): Stabilization of Distributed Parameter Systems: Design Methods and Applications, 6330 Cham, Switzerland: Springer Nature Switzerland AG.The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland, 2021, p. 17-41 (SEMA SIMAI Springer SeriesICIAM 2019 SEMA SIMAI Springer Series, Vol.2)
DOI: 10.1007/978-3-030-61742-4
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Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems
In: SIAM Journal on Control and Optimization 59 (2021), p. 3600-3624
ISSN: 0363-0129
DOI: 10.1137/20M1356105
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Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems
In: SIAM Journal on Control and Optimization 59 (2021), p. 3600-3624
ISSN: 0363-0129
DOI: 10.1137/20M1356105
URL: https://dcn.nat.fau.eu/wp-content/uploads/heiland-zuazua.pdf
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Model predictive control with random batch methods for a guiding problem
In: Mathematical Models & Methods in Applied Sciences 31 (2021), p. 1569-1592
ISSN: 0218-2025
DOI: 10.1142/S0218202521500329
BibTeX: Download - Conti M., Liverani L., Pata V.:
A note on the energy transfer in coupled differential systems
In: Communications on Pure and Applied Analysis 20 (2021), p. 1821-1831
ISSN: 1534-0392
DOI: 10.3934/cpaa.2021042
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The MGT-Fourier model in the supercritical case
In: Journal of Differential Equations 301 (2021), p. 543-567
ISSN: 0022-0396
DOI: 10.1016/j.jde.2021.08.030
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The turnpike property in nonlinear optimal control – A geometric approach
In: Automatica 134 (2021), p. 109939
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2021.109939
URL: https://dcn.nat.fau.eu/wp-content/uploads/Turnpike_for_Automatica.pdf
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The turnpike property in nonlinear optimal control-A geometric approach
In: Automatica 134 (2021)
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2021.109939
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Nodal Control and Probabilistic Constrained Optimization using the Example of Gas Networks (Dissertation, 2021)
URL: https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/410
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Flow decomposition for heat equations with memory
In: Journal De Mathematiques Pures Et Appliquees (2021)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2021.11.005
URL: https://www.sciencedirect.com/science/article/pii/S0021782421001665
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Sharpening of decay rates in Fourier based hypocoercivity methods
In: Recent Advances in Kinetic Equations and Applications, 2021 (Springer INdAM Series)
DOI: 10.1007/978-3-030-82946-9_1
URL: https://link.springer.com/chapter/10.1007/978-3-030-82946-9_1
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2020
- , , :
Sharp decay estimates in local sensitivity analysis for evolution equations with uncertainties: From ODEs to linear kinetic equations
In: Journal of Differential Equations 268 (2020), p. 1156-1204
ISSN: 0022-0396
DOI: 10.1016/j.jde.2019.08.047
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Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation
In: Foundations of Computational Mathematics (2020)
ISSN: 1615-3375
DOI: 10.1007/s10208-020-09445-0
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Controllability of the one-dimensional fractional heat equation under positivity constraints
In: Communications on Pure and Applied Analysis 19 (2020), p. 1949-1978
ISSN: 1534-0392
DOI: 10.3934/cpaa.2020086
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A Stochastic Approach to the Synchronization of Coupled Oscillators
In: Frontiers in Energy Research 8 (2020)
ISSN: 2296-598X
DOI: 10.3389/fenrg.2020.00115
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A stochastic approach to the synchronization of coupled oscillators
(2020)
DOI: 10.3389/fenrg.2020.00115
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The inverse problem for Hamilton-jacobi equations and semiconcave envelopes
In: SIAM Journal on Mathematical Analysis 52 (2020), p. 5627-5657
ISSN: 0036-1410
DOI: 10.1137/20M1330130
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The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes
Workshop on Mathematical Analysis (Universidad de Alicante)
DOI: 10.1137/20m1330130
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Optimal Neumann Boundary Control of a Vibrating String with Uncertain Initial Data and Probabilistic Terminal Constraints
In: SIAM Journal on Control and Optimization 58 (2020), p. 2288-2311
ISSN: 0363-0129
DOI: 10.1137/19M1269944
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Closed loop control of gas flow in a pipe: stability for a transient model
In: At-Automatisierungstechnik 68 (2020), p. 1001-1010
ISSN: 0178-2312
DOI: 10.1515/auto-2020-0071
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A New Model for Transient Flow in Gas Transportation Networks
In: Pammy Manchanda; René Pierre Lozi; Abul Hasan Siddiqi (ed.): Mathematical Modelling, Optimization, Analytic and Numerical Solutions, Singapore: Springer Nature, 2020, p. 147-156 (Industrial and Applied Mathematics book series (INAMA))
ISBN: 978-981-15-0927-8
DOI: 10.1007/978-981-15-0928-5
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Asymptotic behavior and control of a "guidance by repulsion" model
In: Mathematical Models & Methods in Applied Sciences (2020)
ISSN: 0218-2025
DOI: 10.1142/S0218202520400047
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Shape turnpike for linear parabolic PDE models
In: Systems & Control Letters 142 (2020), Article No.: 104733
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2020.104733
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Nonnegative control of finite-dimensional linear systems
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire (2020)
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2020.07.004
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Sparse source identification of linear diffusion–advection equations by adjoint methods
In: Systems & Control Letters 145 (2020), Article No.: 104801
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2020.104801
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Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
In: Journal De Mathematiques Pures Et Appliquees (2020)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2020.08.006
BibTeX: Download - Glowinski R, Song YC, Yuan XM:
An ADMM numerical approach to linear parabolic state constrained optimal control problems
In: Numerische Mathematik 144 (2020), p. 931-966
ISSN: 0029-599X
DOI: 10.1007/s00211-020-01104-4
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Model-Based Optimization of Ripening Processes with Feedback Modules
In: Chemical Engineering & Technology 43 (2020), p. 896-903
ISSN: 0930-7516
DOI: 10.1002/ceat.201900515
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Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function
In: Nonlinear Dynamics (2020)
ISSN: 0924-090X
DOI: 10.1007/s11071-020-05715-2
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2019
- , , , , :
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions
In: Journal of the Franklin Institute-Engineering and Applied Mathematics (2019)
ISSN: 0016-0032
DOI: 10.1016/j.jfranklin.2020.06.005
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The maximum principle for discrete-time control systems and applications to dynamic games
In: Journal of Mathematical Analysis and Applications 475 (2019), p. 253--277
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.02.038
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Controllability of one-dimensional viscous free boundary flows
(2019)
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Exact controllability of a string to rest with a moving boundary
In: Control and Cybernetics 48 (2019), p. 69-87
ISSN: 0324-8569
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Controllability of shadow reaction-diffusion systems
In: Journal of Differential Equations (2019)
ISSN: 0022-0396
DOI: 10.1016/j.jde.2019.10.012
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Inverse design for the one-dimensional Burgers equation
(2019)
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(online publication) - , , :
Nonnegative control of finite-dimensional linear systems
(2019)
DOI: 10.1016/j.anihpc.2020.07.004
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(online publication) - , , :
Controllability of a class of infinite dimensional systems with age structure
In: Control and Cybernetics 48 (2019), p. 231-260
ISSN: 0324-8569
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Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models
(2019)
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(online publication) - , :
A Parabolic Approach to the Control of Opinion Spreading
In: Arkadi Berezovski, Tarmo Soomere (ed.): Applied Wave Mathematics II, Springer, 2019, p. 343-363 (Mathematics of Planet Earth, Vol.6)
ISBN: 978-3-030-29950-7
DOI: 10.1007/978-3-030-29951-4
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Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
(2019)
DOI: 10.1016/j.matpur.2020.08.006
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(online publication) - Song YC, Yuan XM, Yue HR:
AN INEXACT UZAWA ALGORITHMIC FRAMEWORK FOR NONLINEAR SADDLE POINT PROBLEMS WITH APPLICATIONS TO ELLIPTIC OPTIMAL CONTROL PROBLEM
In: SIAM Journal on Numerical Analysis 57 (2019), p. 2656-2684
ISSN: 0036-1429
DOI: 10.1137/19M1245736
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2018
- , , :
On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations
In: Journal of Differential Equations 264 (2018), p. 6843-6872
ISSN: 0022-0396
DOI: 10.1016/j.jde.2018.01.052
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Boundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Boundary Data
In: SIAM Journal on Control and Optimization 56 (2018), p. 1491–1507
ISSN: 0363-0129
DOI: 10.1137/16M1090156
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2017
- Zhang K, Li JS, Song YC, Wang XS:
An alternating direction method of multipliers for elliptic equation constrained optimization problem
In: Science China-Mathematics 60 (2017), p. 361-378
ISSN: 1674-7283
DOI: 10.1007/s11425-015-0522-3
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2016
- , , :
Asymptotics of the Weyl function for Schrödinger operators with measure-valued potentials
In: Monatshefte für Mathematik 179 (2016), p. 603-613
ISSN: 0026-9255
DOI: 10.1007/s00605-015-0740-9
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