Pursuit-evasion differential game with many inertial players
We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the ga...
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/16398/ http://psasir.upm.edu.my/id/eprint/16398/1/Pursuit%20and%20evasion%20differential%20games%20in%20Hilbert%20Space.pdf |
| _version_ | 1848842951293140992 |
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| author | Ibragimov, Gafurjan I. Salimi, Mehdi |
| author_facet | Ibragimov, Gafurjan I. Salimi, Mehdi |
| author_sort | Ibragimov, Gafurjan I. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize it. In this paper, we find the value of the game and construct optimal strategies of the players. |
| first_indexed | 2025-11-15T08:07:17Z |
| format | Article |
| id | upm-16398 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:07:17Z |
| publishDate | 2009 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-163982017-05-09T09:42:19Z http://psasir.upm.edu.my/id/eprint/16398/ Pursuit-evasion differential game with many inertial players Ibragimov, Gafurjan I. Salimi, Mehdi We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize it. In this paper, we find the value of the game and construct optimal strategies of the players. Hindawi Publishing Corporation 2009 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/16398/1/Pursuit%20and%20evasion%20differential%20games%20in%20Hilbert%20Space.pdf Ibragimov, Gafurjan I. and Salimi, Mehdi (2009) Pursuit-evasion differential game with many inertial players. Mathematical Problems in Engineering, 2009. art. no. 653723. pp. 1-15. ISSN 1024-123X; ESSN: 1563-5147 https://www.hindawi.com/journals/mpe/2009/653723/abs/ 10.1155/2009/653723 |
| spellingShingle | Ibragimov, Gafurjan I. Salimi, Mehdi Pursuit-evasion differential game with many inertial players |
| title | Pursuit-evasion differential game with many inertial players |
| title_full | Pursuit-evasion differential game with many inertial players |
| title_fullStr | Pursuit-evasion differential game with many inertial players |
| title_full_unstemmed | Pursuit-evasion differential game with many inertial players |
| title_short | Pursuit-evasion differential game with many inertial players |
| title_sort | pursuit-evasion differential game with many inertial players |
| url | http://psasir.upm.edu.my/id/eprint/16398/ http://psasir.upm.edu.my/id/eprint/16398/ http://psasir.upm.edu.my/id/eprint/16398/ http://psasir.upm.edu.my/id/eprint/16398/1/Pursuit%20and%20evasion%20differential%20games%20in%20Hilbert%20Space.pdf |