An algorithmic guide for finite-dimensional optimal control problems
We survey the main numerical techniques for finite-dimensional nonlinear optimal control.
The chapter is written as a guide to practitioners who wish to get rapidly acquainted with the …
The chapter is written as a guide to practitioners who wish to get rapidly acquainted with the …
Optimistic planning algorithms for state-constrained optimal control problems
O Bokanowski, N Gammoudi, H Zidani - Computers & Mathematics with …, 2022 - Elsevier
In this work, we study optimistic planning methods to solve some state-constrained optimal
control problems in finite horizon. While classical methods for calculating the value function …
control problems in finite horizon. While classical methods for calculating the value function …
Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach
A Désilles, H Zidani - SIAM Journal on Control and Optimization, 2019 - SIAM
In this work we present a new approach for the characterization of Pareto fronts for
multiobjective optimal control problems. Our approach is based on the Hamilton--Jacobi …
multiobjective optimal control problems. Our approach is based on the Hamilton--Jacobi …
Neural networks for first order HJB equations and application to front propagation with obstacle terms
O Bokanowski, A Prost, X Warin - Partial Differential Equations and …, 2023 - Springer
We consider a deterministic optimal control problem, focusing on a finite horizon scenario.
Our proposal involves employing deep neural network approximations to capture Bellman's …
Our proposal involves employing deep neural network approximations to capture Bellman's …
Least-violating symbolic controller synthesis for safety, reachability and attractivity specifications
Specifications considered in symbolic control are often interpreted qualitatively and
controllers are usually classified as correct if they enforce the specification or as incorrect if …
controllers are usually classified as correct if they enforce the specification or as incorrect if …
A differential game control problem with state constraints
N Gammoudi, H Zidani - Mathematical Control and Related Fields, 2022 - hal.science
We study the Hamilton-Jacobi (HJ) approach for a two-person zero-sum differential game
with state constraints and where controls of the two players are coupled within the dynamics …
with state constraints and where controls of the two players are coupled within the dynamics …
Representation Results and Error Estimates for Differential Games with Applications Using Neural Networks
O Bokanowski, X Warin - Dynamic Games and Applications, 2024 - Springer
We study deterministic optimal control problems for differential games with finite horizon. We
propose new approximations of the strategies in feedback form and show error estimates …
propose new approximations of the strategies in feedback form and show error estimates …
Neural networks for differential games
O Bokanowski, X Warin - arXiv preprint arXiv:2402.02792, 2024 - arxiv.org
We study deterministic optimal control problems for differential games with finite horizon. We
propose new approximations of the strategies in feedback form, and show error estimates …
propose new approximations of the strategies in feedback form, and show error estimates …
Stability and reachability analysis for a controlled heterogeneous population of cells
C Carrère, H Zidani - Optimal Control Applications and Methods, 2020 - Wiley Online Library
This article is devoted to the study of a controlled population of cells. The modeling of the
problem leads to a mathematical formulation of stability and reachability properties of some …
problem leads to a mathematical formulation of stability and reachability properties of some …
A model for a vector-borne disease with control based on mosquito repellents: A viability analysis
P Rashkov - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
We investigate a model for a vector-borne disease of susceptible-infected-removed type for
the hosts in the presence of control measures and state constraints. The control is based on …
the hosts in the presence of control measures and state constraints. The control is based on …