Is bang-bang control all you need? solving continuous control with bernoulli policies

T Seyde, I Gilitschenski, W Schwarting… - Advances in …, 2021 - proceedings.neurips.cc
Reinforcement learning (RL) for continuous control typically employs distributions whose
support covers the entire action space. In this work, we investigate the colloquially known …

Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations

AD Corella, N Jork, V Veliov - ESAIM: Control, Optimisation and …, 2022 - esaim-cocv.org
This paper investigates stability properties of affine optimal control problems constrained by
semilinear elliptic partial differential equations. This is done by studying the so called metric …

Critical cones for sufficient second order conditions in PDE constrained optimization

E Casas, M Mateos - SIAM Journal on Optimization, 2020 - SIAM
In this paper, we analyze optimal control problems governed by semilinear parabolic
equations. Box constraints for the controls are imposed, and the cost functional involves the …

Error estimates for semilinear parabolic control problems in the absence of Tikhonov term

E Casas, M Mateos, A Rösch - SIAM Journal on Control and Optimization, 2019 - SIAM
In this paper, we analyze optimal control problems of semilinear parabolic equations, where
the controls are distributed and depend only on time. Box constraints for the controls are …

An optimal control strategy to design passive thermal cloaks of arbitrary shape

R Saporiti, C Sinigaglia… - Proceedings of the …, 2024 - royalsocietypublishing.org
In this paper, we describe a numerical framework for achieving passive thermal cloaking of
arbitrary shapes in both static and transient regimes. The design strategy is cast as the …

On the solution stability of parabolic optimal control problems

AD Corella, N Jork, VM Veliov - Computational Optimization and …, 2023 - Springer
The paper investigates stability properties of solutions of optimal control problems
constrained by semilinear parabolic partial differential equations. Hölder or Lipschitz …

Stability for semilinear parabolic optimal control problems with respect to initial data

E Casas, F Tröltzsch - Applied Mathematics & Optimization, 2022 - Springer
A distributed optimal control problem for a semilinear parabolic partial differential equation is
investigated. The stability of locally optimal solutions with respect to perturbations of the …

Parabolic optimal control problems with combinatorial switching constraints, Part I: Convex relaxations

C Buchheim, A Grütering, C Meyer - SIAM Journal on Optimization, 2024 - SIAM
We consider optimal control problems for partial differential equations where the controls
take binary values but vary over the time horizon; they can thus be seen as dynamic …

[PDF][PDF] First and second order optimality conditions for the control of Fokker-Planck equations

MS Aronna, F Troeltzsch - ESAIM: Control, Optimisation and …, 2021 - esaim-cocv.org
In this article we study an optimal control problem subject to the Fokker-Planck equation∂ t
ρ− ν∆ ρ− div (ρB [u])= 0∂ tρ-νΔρ-div ρB [u]= 0. The control variable u is time-dependent and …

Optimal control of PDEs and FE-approximation

E Casas, K Kunisch, F Tröltzsch - Handbook of Numerical Analysis, 2022 - Elsevier
Optimal control problems of partial differential equations are studied. Though the focus lies
on elliptic partial differential equations, similar methods can be used for the analysis of …