Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints

We consider an evasion differential game of many pursuers and one evader with integral constraints in the space R3. The game is described by simple equations. Control functions of the players are subjected to coordinate-wise integral constraints. Evasion is said to be possible if the state of the ev...

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Main Authors: Salleh, Yusra, Ibragimov, Gafurjan, Rahmanov, Asqar, Khaldjigitov, Abduvali
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57270/1/Construction%20the%20evasion%20strategy%20in%20the%20differential%20game%20of%20many%20pursuers%20and%20one%20evader%20with%20integral%20constraints.pdf
http://psasir.upm.edu.my/id/eprint/57270/
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spelling my.upm.eprints.572702017-09-26T03:48:20Z http://psasir.upm.edu.my/id/eprint/57270/ Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints Salleh, Yusra Ibragimov, Gafurjan Rahmanov, Asqar Khaldjigitov, Abduvali We consider an evasion differential game of many pursuers and one evader with integral constraints in the space R3. The game is described by simple equations. Control functions of the players are subjected to coordinate-wise integral constraints. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of the evader is constructed based on controls of the pursuers with lag. A sufficient condition of evasion from many pursuers is obtained and an illustrative example is provided. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57270/1/Construction%20the%20evasion%20strategy%20in%20the%20differential%20game%20of%20many%20pursuers%20and%20one%20evader%20with%20integral%20constraints.pdf Salleh, Yusra and Ibragimov, Gafurjan and Rahmanov, Asqar and Khaldjigitov, Abduvali (2013) Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 296-299). 10.1063/1.4823923
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 an evasion differential game of many pursuers and one evader with integral constraints in the space R3. The game is described by simple equations. Control functions of the players are subjected to coordinate-wise integral constraints. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of the evader is constructed based on controls of the pursuers with lag. A sufficient condition of evasion from many pursuers is obtained and an illustrative example is provided.
format Conference or Workshop Item
author Salleh, Yusra
Ibragimov, Gafurjan
Rahmanov, Asqar
Khaldjigitov, Abduvali
spellingShingle Salleh, Yusra
Ibragimov, Gafurjan
Rahmanov, Asqar
Khaldjigitov, Abduvali
Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints
author_facet Salleh, Yusra
Ibragimov, Gafurjan
Rahmanov, Asqar
Khaldjigitov, Abduvali
author_sort Salleh, Yusra
title Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints
title_short Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints
title_full Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints
title_fullStr Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints
title_full_unstemmed Construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints
title_sort construction the evasion strategy in the differential game of many pursuers and one evader with integral constraints
publisher AIP Publishing LLC
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/57270/1/Construction%20the%20evasion%20strategy%20in%20the%20differential%20game%20of%20many%20pursuers%20and%20one%20evader%20with%20integral%20constraints.pdf
http://psasir.upm.edu.my/id/eprint/57270/
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score 13.244368