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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Main Authors: Ibragimov, Gafurjan, Hussin, Noor Aidawati
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2010
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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Institution: Universiti Putra Malaysia
Language: English
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spelling 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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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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