WP3-CC – cmc.deusto.eus

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…

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 the…

Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations

Constraints, Controllability, Mathematical biology, Reaction-diffusion

Ruiz-Balet D., Zuazua E.. Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. J. Math. Pures Appl, vol. 143, pp. 345-375 (2020) https://doi.org/10.1016/j.matpur.2020.08.006 Abstract. Dynamic phenomena in social and…

Controllability of the one-dimensional fractional heat equation under positivity constraints

U. Biccari, M. Warna, E. Zuazua Internal observability for coupled systems of linear partial differential equations. Commun. Pure Appl. Anal., Vol 19. No. 4 (2019), pp. 1949-1978. DOI: 10.3934/cppaa.2020086

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation

Antil H, Biccari U, Ponce R, Warma M, Zamorano S. Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation Abstract. We study the controllability to…

Control of the semi-discrete 1D heat equation under nonnegative control constraint

IpOpt/AMPL

Download Code related to the Control of the semi-discrete 1D heat equation under nonnegative control constraint. Developed by Jérôme Lohéac, Emmanuel Trélat & Enrique Zuazua

Control of the semi-discrete 1D heat equation under nonnegative control constraint

PDF version... | Download Code... 1 Introduction In the post IpOpt and AMPL use to solve time optimal control problems, we explain how to use IpOpt and AMPL in order to…

IpOpt and AMPL use to solve time optimal control problems

PDF version... | Download Code... Featured Video Evolution of the controls and of the state for $y^0=1$, $y^1=5$, $M=20$ and the discretization parameters $N_x=30$, $N_t=450$ in the minimal computed time $T\simeq\mathtt{0.2093}$.…

IpOpt/AMPL code sample

IpOpt/AMPL

Download Code related to the IpOpt and AMPL use to solve time optimal control problems. Developed by Jérôme Lohéac, Emmanuel Trélat & Enrique Zuazua

Control under constraints (CC)

Most of the existing theory of controllability for PDEs has been developed in the absence of constraints on the controls and states. Thus, in practice, available results do not guarantee…

Neural ODE Control for Classification, Approximation and Transport

Constrained control of gene-flow models

Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations

Controllability of the one-dimensional fractional heat equation under positivity constraints

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation

Control of the semi-discrete 1D heat equation under nonnegative control constraint

Control of the semi-discrete 1D heat equation under nonnegative control constraint

IpOpt and AMPL use to solve time optimal control problems

IpOpt/AMPL code sample

Control under constraints (CC)

Control of neural transport for normalizing flows

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

Gaussian Beam ansatz for finite difference wave equations

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

Optimal design of sensors via geometric criteria