2023 – cmc.deusto.eus

Boundary Controllability for the 1D Moore-Gibson-Thompson equation

C. Lizama, S. Zamorano (2023) Boundary Controllability for the 1D Moore-Gibson-Thompson equation, Meccanica 58, Vol. 58, pp. 1031-1038, 10.1007/s11012-022-01551-3. https://link.springer.com/article/10.1007/s11012-022-01551-3 Abstract. This article addresses the boundary controllability problem for a…

Averaged turnpike property for differential equations with random constant coefficients. Mathematical Control and Related Fields

M. Hernández, R. Lecaros, S. Zamorano (2023) Averaged turnpike property for differential equations with random constant coefficients. Mathematical Control and Related Fields , Vol. 365, pp. 808-832, https://www.aimsciences.org/article/doi/10.3934/mcrf.2022016 Abstract. This…

Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions

R. Lecaros, R. Morales, A. Pérez, S. Zamorano (2023) Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions, Differ. Equ., Vol. 365, pp.…

An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound

R. Arancibia, R. Lecaros, A. Mercado, S. Zamorano (2022) An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound, J. Inverse Ill-Posed Probl., Vol. 30, No. 5, pp. 659-675,…

Control of neural transport for normalizing flows

D. Ruiz-Balet, E. Zuazua. Control of neural transport for normalizing flows (2023) J. Math. Pures Appl. https://doi.org/10.48550/arXiv.2307.07817 Abstract. Inspired by normalizing flows, we analyze the bilinear control of neural transport…

A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation

U. Biccari, Y. Song, X. Yuan, E. Zuazua. A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation (2023) Inverse Problems, IP-103963, https://arxiv.org/abs/2202.01589 Abstract. We consider…

Gaussian Beam ansatz for finite difference wave equations

Biccari U, Zuazua E. Gaussian Beam ansatz for finite difference wave equations (2023) Abstract. This work is concerned with the construction of Gaussian Beam (GB) solutions for the numerical approximation…

Optimal design of sensors via geometric criteria

I. Ftouhi, Zuazua E.. Optimal design of sensors via geometric criteria (2023) J. Geom. Anal., Vol. 33, No. 253, https://doi.org/10.1007/s12220-023-01301-1 Abstract. We consider a convex set Ω and look for…

Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave

G.M. Coclite, De Nitti N., Zuazua E.. Long-time convergence of a nonlocal Burgers' equation towards the local N-wave (2023) CVGMT Abstract. We study the long-time behavior of the unique weak…

On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov methods

N. Nitti, De Nitti N., Zuazua E.. On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov methods (2023) Vietnam J. Math. https://doi.org/10.1007/s10013-022-00598-9 Abstract. In…

Neural ODE Control for Classification, Approximation and Transport

data classification, deep learning, Neural ODEs, Optimal Transport, simultaneous control, transport equations, universal approximation, Wasserstein distance

Ruiz-Balet D., Zuazua E. Neural ODE Control for Classification, Approximation and Transport (2023), SIAM Review, Vol. 65, No. 3, pp. 735-773, https://doi.org/10.1137/21M1411433 Abstract. We analyze Neural Ordinary Differential Equations (NODEs)…

Multilevel control by duality

Umberto Biccari, Enrique Zuazua. Multilevel control by duality (2023) Systems & Control Letters, Vol. 175, 105-502, https://doi.org/10.1016/j.sysconle.2023.105502 Abstract. We discuss the multilevel control problem for linear dynamical systems, consisting in designing…

A quantitative analysis of Koopman operator methods for system identification and predictions

C. Zhang, E. Zuazua. A quantitative analysis of Koopman operator methods for system identification and predictions (2023) Comptes Rendus. Mécanique, Vol. 351, No. S1, pp. 1-31. In memory of R.…