Optimal control problems in transport dynamics with additive noise
Optimization and Control
2023-03-10 v1 Analysis of PDEs
Abstract
Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for randomness in the evolution are taken into account. A well-posedness theory under very low regularity of the control vector fields is developed, as well as a rigorous derivation from stochastic particle systems.
Cite
@article{arxiv.2303.04877,
title = {Optimal control problems in transport dynamics with additive noise},
author = {Stefano Almi and Marco Morandotti and Francesco Solombrino},
journal= {arXiv preprint arXiv:2303.04877},
year = {2023}
}
Comments
33 pages