Hybrid control for optimal visiting problems for a single player and for a crowd
Optimization and Control
2022-01-04 v4 Numerical Analysis
Analysis of PDEs
Numerical Analysis
Abstract
In an optimal visiting problem, we want to control a trajectory that has to pass as close as possible to a collection of target points or regions. We introduce a hybrid control-based approach for the classic problem where the trajectory can switch between a group of discrete states related to the targets of the problem. The model is subsequently adapted to a mean-field framework to study viability and crowd fluxes to model a multitude of indistinguishable players.
Cite
@article{arxiv.2012.08596,
title = {Hybrid control for optimal visiting problems for a single player and for a crowd},
author = {Fabio Bagagiolo and Adriano Festa and Luciano Marzufero},
journal= {arXiv preprint arXiv:2012.08596},
year = {2022}
}