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Active Particles, Volume 2Control Strategies for the Dynamics of Large Particle Systems

Active Particles, Volume 2: Control Strategies for the Dynamics of Large Particle Systems [We survey some recent approaches to control problems for large particle systems. Particle systems are transversal to many applications, ranging from classical physics to social sciences. The temporal evolution of the particles is determined by deterministic or stochastic dynamics and they are additionally able to optimize their trajectory over a large time. In particular, we investigate the limit of infinitely many particles leading to control of kinetic partial differential equations. To this goal a different notion of differentiability of the meanfield equation is introduced. Different mathematical methods based on meanfield games, model predictive control, and optimal control techniques will be discussed.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Active Particles, Volume 2Control Strategies for the Dynamics of Large Particle Systems

Part of the Modeling and Simulation in Science, Engineering and Technology Book Series
Editors: Bellomo, Nicola; Degond, Pierre; Tadmor, Eitan
Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja
Active Particles, Volume 2 — Aug 23, 2019
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22 pages

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Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-20296-5
Pages
149 –171
DOI
10.1007/978-3-030-20297-2_5
Publisher site
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Abstract

[We survey some recent approaches to control problems for large particle systems. Particle systems are transversal to many applications, ranging from classical physics to social sciences. The temporal evolution of the particles is determined by deterministic or stochastic dynamics and they are additionally able to optimize their trajectory over a large time. In particular, we investigate the limit of infinitely many particles leading to control of kinetic partial differential equations. To this goal a different notion of differentiability of the meanfield equation is introduced. Different mathematical methods based on meanfield games, model predictive control, and optimal control techniques will be discussed.]

Published: Aug 23, 2019

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