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Fixed duration pursuit-evasion differential game with integral constraints

We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is co...

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Main Authors: Ibragimov, Gafurjan, Kuchkarov, Atamurat Shamuratovich
Format: Article
Language:English
English
Published: Institute of Physics Publishing 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30170/1/Fixed%20duration%20pursuit.pdf
http://psasir.upm.edu.my/id/eprint/30170/
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spelling my.upm.eprints.301702015-09-22T00:49:42Z http://psasir.upm.edu.my/id/eprint/30170/ Fixed duration pursuit-evasion differential game with integral constraints Ibragimov, Gafurjan Kuchkarov, Atamurat Shamuratovich We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize it. Optimal strategies of the players are constructed, and the value of the game is found. It should be noted that energy resource of any pursuer may be less than that of the evader. Institute of Physics Publishing 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30170/1/Fixed%20duration%20pursuit.pdf Ibragimov, Gafurjan and Kuchkarov, Atamurat Shamuratovich (2013) Fixed duration pursuit-evasion differential game with integral constraints. Journal of Physics: Conference Series, 435. art. no. 012017. pp. 1-11. ISSN 1742-6588 10.1088/1742-6596/435/1/012017 English
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
English
description We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize it. Optimal strategies of the players are constructed, and the value of the game is found. It should be noted that energy resource of any pursuer may be less than that of the evader.
format Article
author Ibragimov, Gafurjan
Kuchkarov, Atamurat Shamuratovich
spellingShingle Ibragimov, Gafurjan
Kuchkarov, Atamurat Shamuratovich
Fixed duration pursuit-evasion differential game with integral constraints
author_facet Ibragimov, Gafurjan
Kuchkarov, Atamurat Shamuratovich
author_sort Ibragimov, Gafurjan
title Fixed duration pursuit-evasion differential game with integral constraints
title_short Fixed duration pursuit-evasion differential game with integral constraints
title_full Fixed duration pursuit-evasion differential game with integral constraints
title_fullStr Fixed duration pursuit-evasion differential game with integral constraints
title_full_unstemmed Fixed duration pursuit-evasion differential game with integral constraints
title_sort fixed duration pursuit-evasion differential game with integral constraints
publisher Institute of Physics Publishing
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30170/1/Fixed%20duration%20pursuit.pdf
http://psasir.upm.edu.my/id/eprint/30170/
_version_ 1643829978401341440
score 13.211869

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