Minimal time problem for discrete crowd models with a localized vector field
Analysis of PDEs
2018-03-21 v3 Optimization and Control
Abstract
In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localized on a fixed control set. We characterize the minimal time for a discrete crowd model, both for exact and approximate controllability. This leads to an algorithm that computes the control and the minimal time. We finally present a numerical simulation.
Keywords
Cite
@article{arxiv.1703.08049,
title = {Minimal time problem for discrete crowd models with a localized vector field},
author = {Michel Duprez and Morgan Morancey and Francesco Rossi},
journal= {arXiv preprint arXiv:1703.08049},
year = {2018}
}