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Dynamic Games and Applications
Erschienen in: Dynamic Games and Applications 2/2018

15.07.2017

Simple Motion Evasion Differential Game of Many Pursuers and Evaders with Integral Constraints

verfasst von: Gafurjan Ibragimov, Massimiliano Ferrara, Atamurat Kuchkarov, Bruno Antonio Pansera

Erschienen in: Dynamic Games and Applications | Ausgabe 2/2018

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Abstract

We study a simple motion evasion differential game of many pursuers and evaders. Control functions of players are subjected to integral constraints. If the state of at least one evader does not coincide with that of any pursuer forever, then evasion is said to be possible in the game. The aim of the group of evaders is to construct their strategies so that evasion can be possible in the game and the aim of the group of pursuers is opposite. The problem is to find a sufficient condition of evasion. If the total energy of pursuers is less than or equal to that of evaders, then it is proved that evasion is possible, and moreover, evasion strategies are constructed explicitly.
Vorheriger Artikel One-Dimensional Stationary Mean-Field Games with Local Coupling
Nächster Artikel Stochastic Differential Games for Which the Open-Loop Equilibrium is Subgame Perfect

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Metadaten
Titel
Simple Motion Evasion Differential Game of Many Pursuers and Evaders with Integral Constraints
verfasst von
Gafurjan Ibragimov
Massimiliano Ferrara
Atamurat Kuchkarov
Bruno Antonio Pansera
Publikationsdatum
15.07.2017
Verlag
Springer US
Erschienen in
Dynamic Games and Applications / Ausgabe 2/2018
Print ISSN: 2153-0785
Elektronische ISSN: 2153-0793
DOI
https://doi.org/10.1007/s13235-017-0226-6

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