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Erschienen in:
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2019 | OriginalPaper | Buchkapitel

Control Strategies for the Dynamics of Large Particle Systems

verfasst von : Michael Herty, Lorenzo Pareschi, Sonja Steffensen

Erschienen in: Active Particles, Volume 2

Verlag: Springer International Publishing

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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.

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Vorheriges Kapitel High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models
Nächstes Kapitel Kinetic Equations and Self-organized Band Formations
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Metadaten
Titel
Control Strategies for the Dynamics of Large Particle Systems
verfasst von
Michael Herty
Lorenzo Pareschi
Sonja Steffensen
Copyright-Jahr
2019
Buch
Active Particles, Volume 2

Print ISBN: 978-3-030-20296-5

Electronic ISBN: 978-3-030-20297-2

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-20297-2_5

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