497 IGPM497.pdf        November 2019
TITLE Recent developments in controlled crowd dynamics
AUTHORS Mapundi K. Banda, Michael Herty, Torsten Trimborn
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.
KEYWORDS crowd dynamics, particle systems, control, multiscale control, Ricatti, mean field limit, hydrodynamic limit, instantaneous control, opinion formation, wealth models