DTN MoDConFlex. Modelling and control of flexible structures interacting with fluids
- Project/grant No.: 101073558
- Affiliated Entities: Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Bergische Universität Wuppertal, Tel Aviv University, Universiteit Twente, Université Bourgogne Franche-comté (UBFC), Université de Bordeaux
- Supported by HORIZON TMA MSCA. Marie Skłodowska-Curie Doctoral-Training-Network
- Duration: 2023 – 2027
The network brings together 17 academic and industrial partners across Europe with the goal of developing novel approaches to the modelling and control of flexible structures. This project will create groundbreaking mathematical tools for data-driven modelling and control of partial differential equations, which will be efficient in practice and have rigorous theoretical foundations. It is envisioned that the project will combine ideas from a broad range of disciplines, including machine learning, control theory, PDE analysis, and randomized algorithms.
People involved at FAU
Publications
- K. Liu, E. Zuazua (2025) Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics, Math. Models Methods Appl. Sci., https://arxiv.org/html/2412.01619v1
- A. Alcalde, G. Fantuzzi, E. Zuazua (2025) Exact Sequence Classification with Hardmax Transformers, https://arxiv.org/abs/2502.02270
- F. Zakaria, I. Ftouhi, E. Zuazua (2025) Optimal L^p-approximation of convex sets by convex subsets, https://arxiv.org/abs/2501.00928
- M. Hernandez, E. Zuazua (2025) Deep Neural Networks: Multi-Classification and Universal Approximation, https://arxiv.org/abs/2409.06555v1
- T. Crin-Barat, N. De Nitti, E. Zuazua (2025) On the decay of one-dimensional locally and partially dissipative hyperbolic systems, ESAIM:COCV, https://arxiv.org/abs/2206.00555
- B. Dehman, E. Zuazua (2024) Boundary sidewise observability of the wave equation, J. Eur. Math. Soc. (JEMS)
- D. Ruiz-Balet, E. Zuazua (2024) Pattern control via diffusion interaction
- D.W.M. Veldman, E. Zuazua (2024) Local Stability and Convergence of Unconstrained Model Predictive Control
- S. Zamorano, E. Zuazua (2024) Tracking controllability for finite-dimensional linear systems
- A. Alcalde, G. Fantuzzi, E. Zuazua (2024) Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis
- N. De Nitti, D. Serre, E. Zuazua (2024) Pointwise constraints for scalar conservation laws with positive wave velocity
- C. Esteve, B. Geshkovski, D. Pighin, E. Zuazua (2024) Large-time asymptotics in deep learning, hal-02912516
- G. Wang, Y. Zhang, E. Zuazua (2024) Observability for heat equations with time-dependent analytic memory, Arch Rational Mech Anal, Vol. 248, No. 115, https://doi.org/10.1007/s00205-024-02058-9
- E. Zuazua (2024) Progress and future directions in machine learning through control theory Proceedings book FGS 2024, pp. 116, https://hdl.handle.net/10651/74677
- A. Alvarez-Lopez, R. Orive-Illera, E. Zuazua (2024) Optimized classification with Neural ODEs via separability, Neural Networks, Vol. 180, 106640, arXiv:2312.13807
- D.W.M. Veldman, A. Borkowski, E. Zuazua (2024) Stability and Convergence of a Randomized Model Predictive Control Strategy, IEEE Trans. Automat., Vol. 69, No. 9, pp. 6253-6260, 10.1109/TAC.2024.3375253
- A. Alvarez-Lopez, A. Hadj Slimane, E. Zuazua (2024) Interplay between depth and width for interpolation in neural ODEs, Neural Networks, Vol. 180, pp. 106-640, https://doi.org/10.1016/j.neunet.2024.106640, ISSN 0893-6080, arXiv.2401.09902
- J. Lecarós, J. Lopez-Rios, G.I. Montecinos, E. Zuazua (2024) Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements, Math. Meth. Appl. Sci., pp. 1–32, https://doi.org/10.1002/mma.10251
- T. Crin-Barat, L-Y. Shou, E. Zuazua (2024) Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system, Ann. Inst. Henri Poincare (C) Anal. Non Lineaire, https://doi.org/10.4171/aihpc/128
- M. Lazar, E. Zuazua (2024) Eigenvalue bounds for the Gramian operator of the heat equation, Automatica, Vol. 164, pp. 111-653, https://doi.org/10.1016/j.automatica.2024.111653
- M. Hernandez, E. Zuazua (2024) Uniform Turnpike Property and Singular Limits, Acta Appl Math, Vol. 190, No. 3, https://doi.org/10.1007/s10440-024-00640-7
- E. Zuazua (2024) Fourier series and sidewise control of 1-d waves, Volume in honor of Yves Meyer, Documents Mathématiques of the French Mathematical Society (SMF), Vol. 22, p. 341-365, arXiv:2308.04906
- GM. Coclite, N. De Nitti, F. Maddalena, G. Orlando, E. Zuazua. (2024) Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings, M3AS
- F. Della Pietra, G. Fantuzzi, L. Ignat, A.L. Masiello, E. Zuazua (2024) Finite element approximation of the Hardy constant. J. Convex Anal. – Special Issue Giuseppe Buttazzo 70
- D. Ruiz-Balet, E. Zuazua (2024) Control of neural transport for normalising flows. J. Math. Pures Appl., Vol. 181, pp. 58-90, ISSN 0021-7824. https://doi.org/10.1016/j.matpur.2023.10.005
- U. Biccari, Y. Song, X. Yuan, E. Zuazua (2024) A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation, Inverse Problems, IP-103963, https://arxiv.org/abs/2202.01589
- Z. Wang, Y. Song, E. Zuazua (2024) Approximate and Weighted Data Reconstruction Attack in Federated Learning, https://arxiv.org/abs/2308.06822
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