Attainability property for a probabilistic target in Wasserstein spaces
Optimization and Control
2020-08-24 v2
Abstract
In this paper we establish an attainability result for the minimum time function of a control problem in the space of probability measures endowed with Wasserstein distance. The dynamics is provided by a suitable controlled continuity equation, where we impose a nonlocal nonholonomic constraint on the driving vector field, which is assumed to be a Borel selection of a given set-valued map. This model can be used to describe at a macroscopic level a so-called \emph{multiagent system} made of several possible interacting agents.
Cite
@article{arxiv.1904.10933,
title = {Attainability property for a probabilistic target in Wasserstein spaces},
author = {Giulia Cavagnari and Antonio Marigonda},
journal= {arXiv preprint arXiv:1904.10933},
year = {2020}
}
Comments
Accepted for publication in DCDS-A