Citation
Alias, Idham Arif and Ibragimov, Gafurjan and Rakhmanov, Askar
(2017)
Evasion differential game of infinitely many evaders from infinitely many pursuers in Hilbert space.
Dynamic Games and Applications, 7 (3).
pp. 347-359.
ISSN 2153-0785; ESSN: 2153-0793
Abstract
We consider a simple motion evasion differential game of infinitely many evaders and infinitely many pursuers in Hilbert space ℓ2. Control functions of the players are subjected to integral constraints. If the position of an evader never coincides with the position of any pursuer, then evasion is said to be possible. Problem is to find conditions of evasion. The main result of the paper is that if either (i) the total resource of evaders is greater than that of pursuers or (ii) the total resource of evaders is equal to that of pursuers and initial positions of all the evaders are not limit points for initial positions of the pursuers, then evasion is possible. Strategies for the evaders are constructed.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1007/s13235-016-0196-0 |
| Publisher: | Springer |
| Keywords: | Differential game; Hilbert space; Many players; Integral constraint; Evasion; Strategy |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 01 Aug 2017 08:54 |
| Last Modified: | 01 Aug 2017 08:54 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s13235-016-0196-0 |
| URI: | http://psasir.upm.edu.my/id/eprint/56535 |
| Statistic Details: | View Download Statistic |
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