Accepted

Control of certain parabolic models from biology and social sciences

Domènec Ruiz-Balet, , Enrique Zuazua. Control of certain parabolic models from biology and social sciences(2022) Math Control and Related Fields, Vol. 12, No. 4, pp 955-1038. doi: https://doi.org/10.3934/mcrf.2022032 Abstract. These…

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 (2022). SIAM Review Abstract. We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical perspective to address…

Greedy search of optimal approximate solutions

M. Lazar, E. Zuazua. Greedy search of optimal approximate solutions (2022) Commun. Optim. Theory Abstract. In this paper we develop a procedure to deal with a family of parameter-dependent ill-posed…

Control of reaction-diffusion models in biology and social sciences

comparison principle, Constraints, Control, Mathematical biology, paths of steady-states, phase plane, Reaction-diffusion, traveling waves

Domènec Ruiz-Balet, Enrique Zuazua. Control of reaction-diffusion models in biology and social sciences (2022) Math. Control Relat. Fields Abstract. These lecture notes address the controllability under state constraints of reaction-diffusion equations…

Constrained control of gene-flow models

bistable equations, Control, geneflow models, non-controllability, reaction-diffusion equations, spatial heterogeneity, staircase method

Mazari I., Ruiz-Balet D., Zuazua E.. Constrained control of gene-flow models. (2021) Ann. Inst. Henri Poincare (C) Anal. Non Lineaire ⟨hal-02373668⟩ Abstract. In ecology and population dynamics, gene-flow refers to…

Multilevel Selective Harmonic Modulation via Optimal Control

Umberto Biccari, Carlos Esteve-Yagüe, Deyviss Jesús Oroya-Villalta. Multilevel Selective Harmonic Modulation via Optimal Control. (2022) Applied Mathematics and Optimization Abstract. We consider the Selective Harmonic Modulation (SHM) problem, consisting in the…

Control of certain parabolic models from biology and social sciences

Neural ODE Control for Classification, Approximation and Transport

Greedy search of optimal approximate solutions

Control of reaction-diffusion models in biology and social sciences

Constrained control of gene-flow models

Multilevel Selective Harmonic Modulation via Optimal Control

Optimal actuator design via Brunovsky’s normal form

Stability and Convergence of a Randomized Model Predictive Control Strategy

Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems

Control of certain parabolic models from biology and social sciences

Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation