Accepted

Turnpike in Optimal Control PDES, ResNets, and beyond

Brunovsky normal form, Controllability, finite-dimensional systems, Kalman rank condition, lumped control, optimal actuator design.

B. Geshkovski, E. Zuazua, Turnpike in Optimal Control PDES, ResNets and beyond (2022) Abstract: The turnpike property in contemporary macroeconomics asserts that if an economic planner seeks to move an…

Sidewise control of 1-d waves

1-d wave equations, BV-coefficients, nodal profile con-trol, sidewise controllability, sidewise energy estimates

Y. Sarac, E. Zuazua. Sidewise control of 1-d waves. J Optim Theory Appl (2022). https://doi.org/10.1007/s10957-021-01986-w Abstract. We analyze the sidewise controllability for the variable coefficients one-dimensional wave equation. The control…

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…

Internal control for a non-local Schrödinger equation involving the fractional Laplace operator

U. Biccari Internal control for a non-local Schrödinger equation involving the fractional Laplace operator (2021) Abstract: We analyze the interior controllability problem for a nonlocal Schr\"odinger equation involving the fractional…

Turnpike in Optimal Control PDES, ResNets, and beyond

Sidewise control of 1-d waves

Constrained control of gene-flow models

Internal control for a non-local Schrödinger equation involving the fractional Laplace operator

Nonuniqueness of minimizers for semilinear optimal control problems

The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

A framework for randomized time-splitting in linear-quadratic optimal control

Numerical Control: Part A

Numerical hypocoercivity for the Kolmogorov equation