Citation
Ibragimov, Gafurjan and Ferrara, Massimiliano and Kuchkarov, Atamurat and Pansera, Bruno Antonio
(2018)
Simple motion evasion differential game of many pursuers and evaders with integral constraints.
Dynamic Games and Applications, 8 (2).
352 - 378.
ISSN 2153-0785; ESSN: 2153-0793
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1007/s13235-017-0226-6 |
| Publisher: | Birkhaeuser Science |
| Keywords: | Differential game; Many pursuers; Many evaders; Integral constraint; Evasion; Strategy |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 17 May 2022 08:44 |
| Last Modified: | 17 May 2022 08:44 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s13235-017-0226-6 |
| URI: | http://psasir.upm.edu.my/id/eprint/73891 |
| Statistic Details: | View Download Statistic |
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