497 | RWTH Publication No: 772135 2019   IGPM497.pdf |
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 |
DOI | 10.1007%2F978-3-030-50450-2 |
PUBLICATION | Crowd Dynamics, Volume 2 Theory, Models, and Applications Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET) Editor: Livio Gibelli ISBN: 978-3-030-50449-6 |