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2026 Acero A. , Jimenez-Gutierrez DM. , Pighin D. , Zuazua Iriondo E. , Del Rio J. , Uribe-Etxebarria X. :The Sherpa.ai Blind Vertical Federated Learning paradigm to minimize the number of communications (2026 ) DOI: 10.48550/arXiv.2510.17901 BibTeX: Download Affili E. , Zuazua Iriondo E. :Controllability of diffusive Lotka – Volterra strongly competitive systems under boundary constrained controls (2026 ) BibTeX: Download Alcalde Zafra A. , Fantuzzi G. , Zuazua Iriondo E. :Exact Sequence Classification with Transformers (Conference contribution, accepted) URL: https://arxiv.org/abs/2502.02270 BibTeX: Download Alcalde Zafra A. , Fantuzzi G. , Zuazua Iriondo E. :Exact Sequence Interpolation with Transformers (2026 ) BibTeX: Download Alvarez-Lopez A. , Rafael OI. , Zuazua Iriondo E. :Optimized classification with neural ODEs via separability (2026 ) DOI: 10.48550/arXiv.2312.13807 BibTeX: Download Azmi B. , Schlosser N. :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 BibTeX: Download Bargo M. , Simpore Y. :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 BibTeX: Download Barreira JC. , Sônego M. , Zuazua Iriondo E. :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 BibTeX: Download Biccari U. , Ibáñez de Opakua A. , Mato JM. , Millet O. , Morales R. , Zuazua Iriondo E. :Fair feature attribution for multi-output prediction: A Shapley-based perspective (2026 ) BibTeX: Download Biccari U. , Warma M. , Zuazua Iriondo E. :Boundary observation and control for fractional heat and wave equations (2026 ) Open Access: https://doi.org/10.48550/arXiv.2504.17413 BibTeX: Download Biccari U. , Zuazua Iriondo E. :Multilevel selective harmonic modulation by duality (2026 ) DOI: 10.1016/j.ifacol.2022.08.081 URL: https://dcn.nat.fau.eu/wp-content/uploads/SHM_adjoint.pdf BibTeX: Download Coclite GM. , De Nitti N. , Maddalena F. , Orlando G. , Zuazua Iriondo E. :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 ) BibTeX: Download Crin-Barat T. , De Nitti N. , Zuazua Iriondo E. :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 BibTeX: Download Crin-Barat T. , Kawashima S. , Xu J. :The Cattaneo-Christov approximation of Fourier heat-conductive compressible fluids (2026 ) BibTeX: Download Crin-Barat T. , Manea D. :Asymptotic-preserving finite difference method for partially dissipative hyperbolic systems (2026 ) BibTeX: Download Crin-Barat T. , Skondrić S. , Violini A. :Relative energy method for weak-strong uniqueness of the inhomogeneous Navier-Stokes equations (2026 ) BibTeX: Download Dehman B. , Ervedoza S. , Zuazua Iriondo E. :Regional and Partial Observability and Control of Waves (2026 ) BibTeX: Download Djitte S M, Sueur F:A few representation formulas for solutions of fractional Laplace equations (2026 ) Open Access: https://arxiv.org/pdf/2309.09114.pdf URL: https://arxiv.org/pdf/2309.09114.pdf BibTeX: Download De Nitti N, Djitte S M:Fractional Hardy-Rellich 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Süli E. , Farrell P. :Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow (2026 ) Open Access: https://arxiv.org/abs/2011.03024 BibTeX: Download Geshkovski B. , Zuazua Iriondo E. :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 BibTeX: Download Han ZJ. , Zuazua Iriondo E. :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 BibTeX: Download Hernández Salinas M. , Lazar M. , Zamorano S. :Averaged observations and turnpike phenomenon for parameter-dependent systems (2026 ) BibTeX: Download Hernández Salinas M. , Lazar M. , Zamorano S. :Turnpike phenomenon for averaged optimal control In: Optimization (2026 )ISSN: 0233-1934 DOI: 10.1080/02331934.2026.2615776 BibTeX: Download Hernández Salinas M. , Zuazua Iriondo E. :Constructive Universal Approximation and Finite Sample Memorization by Narrow Deep Relu Networks (2026 ) BibTeX: Download Hernández Salinas M. , Zuazua Iriondo E. :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 BibTeX: Download Hu W. , Li Z. , Zhang Y. , Zuazua E. :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 ) BibTeX: Download Ignat LI. , Zuazua Iriondo E. :Optimal convergence rates for the finite element approximation of the Sobolev constant (2026 ) BibTeX: Download Jin S. , Ma C. , Zuazua Iriondo E. :Transmutation based Quantum Simulation for Non-unitary Dynamics BibTeX: Download Lai MC. , Song Y. , Yuan X. , Yue H. , Zeng T. :The hard-constraint PINNs for interface optimal control problems (2026 ) URL: https://arxiv.org/abs/2308.06709 BibTeX: Download Li Z. , Liu K. , Liverani L. , Zuazua Iriondo E. :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 BibTeX: Download Li Z. , Liu K. , Song Y. , Yue H. , Zuazua Iriondo E. :Deep Neural ODE Operator Networks for PDEs In: Mathematical Models & Methods in Applied Sciences (2026 )ISSN: 0218-2025 DOI: 10.1142/S0218202526420054 BibTeX: Download Li Z. , Lü Q. , Wang Y. , Yang H. :Exact Controllability for Stochastic First-Order Multi-Dimensional Hyperbolic Systems BibTeX: Download Li Z. , Zuazua Iriondo E. :Hamiltonian Interface Dynamics for Reduced-Order Optimization of Incompressible Mixing (2026 ) DOI: 10.48550/arXiv.2605.04688 URL: 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, Steynberg M. , Zuazua Iriondo E. :HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling (2026 ) BibTeX: Download Liverani L. , Steynberg M. , Zuazua Iriondo E. :HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling (2026 ) Open Access: https://arxiv.org/abs/2509.14123v1 BibTeX: Download Liverani L. , Zuazua Iriondo E. :HYCO: A formalism for Hybrid-Cooperative PDE modelling (2026 ) BibTeX: Download Lü Q. , Ma B. , Zuazua Iriondo E. , Zuazua E. :Mean-Square Stability of Continuous-Time Stochastic Model Predictive Control (2026 ) URL: https://dcn.nat.fau.eu/wp-content/uploads/MPC-SLQ-251201.pdf BibTeX: Download Lü Q. , Zhang X. , Zuazua Iriondo E. :Null control of heat equations with analytic memory kernels (2026 ) BibTeX: Download Matzakos, N:Activation Saturation and Floquet Spectrum Collapse in Neural ODEs (2026 ) Open Access: https://doi.org/10.48550/arXiv.2604.00543 BibTeX: Download Mazari I. , Ruiz-Balet D. , Zuazua Iriondo E. :Constrained control of gene-flow 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Yuan X. , Yue H. :Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems (2026 ) URL: https://arxiv.org/abs/2307.00296 BibTeX: Download Sônego M. , Zuazua Iriondo E. :Control of a Lotka-Volterra system with weak competition 26 (2026 ), p. 27-62 DOI: 10.4310/CIS.260128103826 BibTeX: Download Trélat E. , Zuazua Iriondo E. :Turnpike in optimal control and beyond: a survey (2026 ) BibTeX: Download Veldman D. , Borkowski A. , Zuazua Iriondo E. :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 BibTeX: Download Veldman D. , Zuazua Iriondo E. :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 BibTeX: Download Wang G. , Zhang Y. , Zuazua Iriondo E. :Reachable subspaces, control regions and heat equations with 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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 BibTeX: Download Crin-Barat T. , Liverani L. , Shou LY. , Zuazua E. :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 BibTeX: Download Crin-Barat T. , Peng YJ. , Shou LY. , Xu J. :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 BibTeX: Download Crin-Barat T. , Shou LY. , Zuazua E. :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 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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 BibTeX: Download Ftouhi I. :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 BibTeX: Download Ftouhi I. :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 BibTeX: Download Gugat M. :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 BibTeX: Download Gugat M. :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 BibTeX: Download Gugat M. :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 BibTeX: Download Hong Q. , Jia J. , Lee YJ. , Li Z. :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 BibTeX: Download Ignat LI. , Zuazua Iriondo E. :Sharp Numerical Approximation of the Hardy Constant In: Discrete and Continuous Dynamical Systems (2025 )ISSN: 1078-0947 DOI: 10.3934/dcds.2025165 BibTeX: Download Liu K. , Pfeiffer L. :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 BibTeX: Download Liu K. , Zuazua Iriondo E. :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 BibTeX: Download Liverani L. , Ognibene R. , Felli V. :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 BibTeX: Download Müller J. , Knupfer A. , Blöss Braga P. , Vittur EB. , Kainz B. , Hutter J. :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 BibTeX: Download Song Y. , Wang Z. , Zuazua Iriondo E. :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 BibTeX: Download 2024 Arslan A. , Fantuzzi G. , Craske J. , Wynn A. :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 BibTeX: Download Barcena Petisco JA. , Zuazua Iriondo E. :Tracking Controllability for the Heat Equation In: IEEETransactions on Automatic Control (2024 )ISSN: 0018-9286 DOI: 10.1109/TAC.2024.3476174 BibTeX: Download Bianchini R. , Crin-Barat T. , Paicu M. :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 BibTeX: Download Bramburger JJ. , Fantuzzi G. :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 BibTeX: Download Bramburger JJ. , Fantuzzi G. :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 BibTeX: Download Coclite GM. , De Nitti N. , Maddalena F. , Orlando G. , Zuazua Iriondo E. :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 BibTeX: Download Crin-Barat T. , Shou LY. , Tan J. :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 BibTeX: Download Das A. , Kushwah P. , Saha J. , Singh M. :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 BibTeX: Download Das A. , Saha J. :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 BibTeX: Download De Nitti N. , Djitté SM. :Fractional Hardy–Rellich inequalities via integration by parts In: Nonlinear Analysis - 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Biccari U. , Zuazua Iriondo E. :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 BibTeX: Download Burtea C. , Crin-Barat T. , Tan J. :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 BibTeX: Download Coclite GM. , Coron JM. , De Nitti N. , Keimer A. , Pflug L. :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 BibTeX: Download Coclite GM. , De Nitti N. , Keimer A. , Pflug L. , Zuazua Iriondo E. :Long-time convergence of a nonlocal Burgers' equation towards the local N-wave In: Nonlinearity (2023 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Corella A. , Veliov VM. , Jork N. :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 BibTeX: Download Esteve-Yague C. , Zuazua Iriondo E. :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 BibTeX: Download Fantuzzi G. , Chernyavsky A. , Goluskin D. , Bramburger J. :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 BibTeX: Download Filipkovska M. :Initial-boundary value problem for the Maxwell-Bloch equations with an arbitrary inhomogeneous broadening and periodic boundary function In: 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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 BibTeX: Download Gugat M. , Henrion R. , Heitsch H. :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 BibTeX: Download Gugat M. , Herty M. :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 BibTeX: Download Gugat M. , Huang X. , Wang Z. :Limits of stabilization of a networked hyperbolic system with a circle In: Control and Cybernetics 52 (2023 ), p. 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Internationale ILIAS-Konferenz (Köln , September 7, 2023 - September 8, 2023 ) BibTeX: Download Ruiz-Balet D. , Zuazua Iriondo E. :Neural ODE Control for Classification, Approximation, and Transport In: SIAM Review 65 (2023 ), p. 735-773 ISSN: 0036-1445 DOI: 10.1137/21M1411433 BibTeX: Download Song Y. , Yuan X. , Yue H. :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 BibTeX: Download Zhang C. , Zuazua Iriondo E. :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/ BibTeX: Download 2022 Bianchini S. , De Nitti N. :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 BibTeX: Download Biccari U. , Warma M. , Zuazua Iriondo E. :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 BibTeX: Download Biccari U. , Zuazua Iriondo E. :Multilevel Selective Harmonic Modulation by Duality In: IFAC-PapersOnLine (2022 ), p. 56-61 ISSN: 1474-6670 DOI: 10.1016/j.ifacol.2022.08.081 BibTeX: Download Cindea N. , Leugering G. , Loheac J. , Micu S. , Iacob GM. , Morris K. , Takahashi T. , Zuazua Iriondo E. :CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS 2022 BibTeX: Download Coclite GM. , De Nitti N. , Keimer A. , Pflug L. :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 BibTeX: Download Cîndea N. , Leugering G. , Lohéac J. , Micu S. , Morris K. , Takahashi T. , Zuazua Iriondo E. :CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS In: Mathematical Reports 24 (2022 ), p. 1-2 ISSN: 1582-3067 BibTeX: Download Das A. , Saha J. :Existence and Uniqueness of Mass Conserving Solutions to the Coagulation, Multi-fragmentation Equations with Compactly Supported Kernels In: Santanu Saha Ray, H. 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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 BibTeX: Download Das A. , Saha J. :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 BibTeX: Download Das A. , Saha J. :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 BibTeX: Download De Nitti N. , Fischer J. :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 BibTeX: Download De Nitti N. , Hounkpe F. , Schulz S. :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 BibTeX: Download Dominguez Corella A. , Veliov VM. :Hölder regularity in bang-bang type affine optimal control problems In: Large-scale scientific computing 2022 BibTeX: Download Dominguez Corella A. , Veliov VM. , Angelov G. :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 BibTeX: Download Dominguez Corella A. , Veliov VM. , Jork N. :Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations In: Esaim-Control Optimisation and Calculus of Variations 28 (2022 ), p. 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Zuazua (ed.): Handbook of Numerical Analysis , Elsevier , 2022 (Handbook of Numerical Analysis) DOI: 10.1016/bs.hna.2021.12.002 BibTeX: Download Gugat M. , Schuster M. , Lang J. , Strauch E. :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 BibTeX: Download Gugat M. , Sokolowski J. :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 BibTeX: Download Gugat M. , Zuazua Iriondo E. , Schuster M. :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 BibTeX: Download Hernández Salinas M. , Lecaros R. , Zamorano S. :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 BibTeX: Download Huang S. , Zhang H. , Chen P. , Zhu Y. , Zuazua Iriondo E. :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 BibTeX: Download Jin S. , Zhu Y. , Zuazua Iriondo E. :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 BibTeX: Download Jin S. , Zhu Y. , Zuazua Iriondo E. :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 BibTeX: Download (online publication)Liard T. , Zuazua Iriondo E. :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 BibTeX: Download Conti M., Liverani L., Pata V.:Erratum: THERMOELASTICITY WITH ANTIDISSIPATION (Discrete and Continuous Dynamical Systems - Series S (2022) 15:8 (2173-2188)) In: Discrete and Continuous Dynamical Systems. 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Zuazua Iriondo E. :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 BibTeX: Download Gugat M. :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 BibTeX: Download Gugat M. , Giesselmann J. , Kunkel T. :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 BibTeX: Download Gugat M. , Krug R. , Martin A. :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 BibTeX: Download Gugat M. , Schuster M. , Zuazua Iriondo E. :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 BibTeX: Download Gugat M. , Weiland S. :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 BibTeX: Download Gugat M. , Zuazua Iriondo E. , Schuster M. :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 BibTeX: Download Heiland J. , Zuazua Iriondo E. :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 BibTeX: Download Heiland J. , Zuazua Iriondo E. :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 BibTeX: Download Ko D. , Zuazua Iriondo E. :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 BibTeX: Download Conti M., Liverani L., Pata V.: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 BibTeX: Download Sakamoto N. , Zuazua Iriondo E. :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 BibTeX: Download Sakamoto N. , Zuazua Iriondo E. :The turnpike property in nonlinear optimal control-A geometric approach In: Automatica 134 (2021 )ISSN: 0005-1098 DOI: 10.1016/j.automatica.2021.109939 BibTeX: Download Schuster M. :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 BibTeX: Download Wang G. , Zhang Y. , Zuazua Iriondo E. :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 BibTeX: Download Wöhrer T. , Dolbeault J. , Arnold A. , Schmeiser C. :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 BibTeX: Download 2020 Arnold A. , Jin S. , Wöhrer T. :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 BibTeX: Download Biccari U. , Marica A. , Zuazua Iriondo E. :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 BibTeX: Download Biccari U. , Warma M. , Zuazua Iriondo E. :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 BibTeX: Download Biccari U. , Zuazua Iriondo E. :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 BibTeX: Download Biccari U. , Zuazua Iriondo E. :A stochastic approach to the synchronization of coupled oscillators (2020 ) DOI: 10.3389/fenrg.2020.00115 BibTeX: Download (online publication)Esteve C. , Zuazua Iriondo E. :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 BibTeX: Download Esteve Yagüe C. , Zuazua Iriondo E. :The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes Workshop on Mathematical Analysis (Universidad de Alicante ) DOI: 10.1137/20m1330130 BibTeX: Download Gugat M. , Farshbaf-Shaker MH. , Holger H. , Henrion R. :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 BibTeX: Download Gugat M. , Hante FM. , Jin L. :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 BibTeX: Download Gugat M. , Herty M. :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 BibTeX: Download Ko D. , Zuazua Iriondo E. :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 BibTeX: Download Lance G. , Trélat E. , Zuazua Iriondo E. :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 BibTeX: Download Lohéac J. , Trélat E. , Zuazua Iriondo E. :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 BibTeX: Download Monge A. , Zuazua Iriondo E. :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 BibTeX: Download Ruiz-Balet D. , Zuazua Iriondo E. :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 BibTeX: Download Spinola M. , Keimer A. , Segets D. , Leugering G. , Pflug L. :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 BibTeX: Download Yamakou M. :Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function In: Nonlinear Dynamics (2020 )ISSN: 0924-090X DOI: 10.1007/s11071-020-05715-2 BibTeX: Download 2019 Cortés JC. , Navarro-Quiles A. , Romero JV. , Roselló MD. , Zuazua Iriondo E. :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 BibTeX: Download Dominguez Corella A. , Hernández-Lerma O. :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 BibTeX: Download Geshkovski B. , Zuazua Iriondo E. :Controllability of one-dimensional viscous free boundary flows (2019 ) BibTeX: Download (online publication)Gugat M. :Exact controllability of a string to rest with a moving boundary In: Control and Cybernetics 48 (2019 ), p. 69-87 ISSN: 0324-8569 BibTeX: Download Hernández-Santamaría V. , Zuazua Iriondo E. :Controllability of shadow reaction-diffusion systems In: Journal of Differential Equations (2019 )ISSN: 0022-0396 DOI: 10.1016/j.jde.2019.10.012 BibTeX: Download Liard T. , Zuazua Iriondo E. :Inverse design for the one-dimensional Burgers equation (2019 ) BibTeX: Download (online publication)Lohéac J. , Trelat E. , Zuazua Iriondo E. :Nonnegative control of finite-dimensional linear systems (2019 ) DOI: 10.1016/j.anihpc.2020.07.004 BibTeX: Download (online publication)Maity D. , Tucsnak M. , Zuazua Iriondo E. :Controllability of a class of infinite dimensional systems with age structure In: Control and Cybernetics 48 (2019 ), p. 231-260 ISSN: 0324-8569 BibTeX: Download Ruiz-Balet D. , Mazari I. , Zuazua Iriondo E. :Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models (2019 ) BibTeX: Download (online publication)Ruiz-Balet D. , Zuazua Iriondo E. :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 BibTeX: Download Ruiz-Balet D. , Zuazua Iriondo E. :Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations (2019 ) DOI: 10.1016/j.matpur.2020.08.006 BibTeX: Download (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: 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