Recent developments in controlled crowd dynamics
Optimization and Control
2019-11-12 v1 Numerical Analysis
Mathematical Physics
Dynamical Systems
math.MP
Numerical Analysis
Abstract
We survey recent results on controlled particle systems. The control aspect introduces new challenges in the discussion of properties and suitable mean field limits. Some of the aspects are highlighted in a detailed discussion of a particular controlled particle dynamics. The applied techniques are shown on this simple problem to illustrate the basic methods. Computational results confirming the theoretical findings are presented and further particle models are discussed.
Cite
@article{arxiv.1911.03625,
title = {Recent developments in controlled crowd dynamics},
author = {M. K. Banda and M. Herty and T. Trimborn},
journal= {arXiv preprint arXiv:1911.03625},
year = {2019}
}