A pursuit-evasion differential game with many pursuers and one evader
We study a pursuit-evasion differential game of many players with geometric constraints being imposed on the control parameters of players. Game is described by an infinite system of differential equations of second order in Hilbert space. Duration of the game is fixed. Payoff is the infimum of the...
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Institute for Mathematical Research, Universiti Putra Malaysia
2010
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Online Access: | http://psasir.upm.edu.my/id/eprint/12798/1/A%20Pursuit-Evasion%20Differential%20Game%20with%20Many%20Pursuers%20and.pdf http://psasir.upm.edu.my/id/eprint/12798/ http://einspem.upm.edu.my/journal/fullpaper/vol4no2/4.%20ibragimov%20for%20web.pdf |
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my.upm.eprints.127982016-04-06T02:28:35Z http://psasir.upm.edu.my/id/eprint/12798/ A pursuit-evasion differential game with many pursuers and one evader Ibragimov, Gafurjan Hussin, Noor Aidawati We study a pursuit-evasion differential game of many players with geometric constraints being imposed on the control parameters of players. Game is described by an infinite system of differential equations of second order in Hilbert space. Duration of the game is fixed. Payoff is the infimum of the distances between the evader and pursuers when the game is terminated. The pursuers’ goal is to minimize the payoff, and the evader's goal is to maximize it. A condition to find the value of the differential game is obtained. Optimal strategies of players are also constructed. Institute for Mathematical Research, Universiti Putra Malaysia 2010-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12798/1/A%20Pursuit-Evasion%20Differential%20Game%20with%20Many%20Pursuers%20and.pdf Ibragimov, Gafurjan and Hussin, Noor Aidawati (2010) A pursuit-evasion differential game with many pursuers and one evader. Malaysian Journal of Mathematical Sciences, 4 (2). pp. 183-194. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol4no2/4.%20ibragimov%20for%20web.pdf |
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We study a pursuit-evasion differential game of many players with geometric constraints being imposed on the control parameters of players. Game is described by an infinite system of differential equations of second order
in Hilbert space. Duration of the game is fixed. Payoff is the infimum of the distances between the evader and
pursuers when the game is terminated. The pursuers’ goal
is to minimize the payoff, and the evader's goal is to maximize it. A condition to find the value of the
differential game is obtained. Optimal strategies of players are also constructed. |
format |
Article |
author |
Ibragimov, Gafurjan Hussin, Noor Aidawati |
spellingShingle |
Ibragimov, Gafurjan Hussin, Noor Aidawati A pursuit-evasion differential game with many pursuers and one evader |
author_facet |
Ibragimov, Gafurjan Hussin, Noor Aidawati |
author_sort |
Ibragimov, Gafurjan |
title |
A pursuit-evasion differential game with many pursuers and one evader |
title_short |
A pursuit-evasion differential game with many pursuers and one evader |
title_full |
A pursuit-evasion differential game with many pursuers and one evader |
title_fullStr |
A pursuit-evasion differential game with many pursuers and one evader |
title_full_unstemmed |
A pursuit-evasion differential game with many pursuers and one evader |
title_sort |
pursuit-evasion differential game with many pursuers and one evader |
publisher |
Institute for Mathematical Research, Universiti Putra Malaysia |
publishDate |
2010 |
url |
http://psasir.upm.edu.my/id/eprint/12798/1/A%20Pursuit-Evasion%20Differential%20Game%20with%20Many%20Pursuers%20and.pdf http://psasir.upm.edu.my/id/eprint/12798/ http://einspem.upm.edu.my/journal/fullpaper/vol4no2/4.%20ibragimov%20for%20web.pdf |
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