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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Main Authors: Ibragimov, Gafurjan I., Salimi, Mehdi
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2009
Online Access:http://psasir.upm.edu.my/id/eprint/16398/1/Pursuit%20and%20evasion%20differential%20games%20in%20Hilbert%20Space.pdf
http://psasir.upm.edu.my/id/eprint/16398/
https://www.hindawi.com/journals/mpe/2009/653723/abs/
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spelling my.upm.eprints.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
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 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.
format Article
author Ibragimov, Gafurjan I.
Salimi, Mehdi
spellingShingle Ibragimov, Gafurjan I.
Salimi, Mehdi
Pursuit-evasion differential game with many inertial players
author_facet Ibragimov, Gafurjan I.
Salimi, Mehdi
author_sort Ibragimov, Gafurjan I.
title Pursuit-evasion differential game with many inertial players
title_short 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_sort pursuit-evasion differential game with many inertial players
publisher Hindawi Publishing Corporation
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/16398/1/Pursuit%20and%20evasion%20differential%20games%20in%20Hilbert%20Space.pdf
http://psasir.upm.edu.my/id/eprint/16398/
https://www.hindawi.com/journals/mpe/2009/653723/abs/
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score 13.211869