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Linear pursuit differential game under phase constraint on the state of evader

We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that...

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Main Authors: Rakhmanov, Askar, Ibragimov, Gafurjan, Ferrara, Massimiliano
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2016
Online Access:http://psasir.upm.edu.my/id/eprint/56537/1/56537.pdf
http://psasir.upm.edu.my/id/eprint/56537/
https://www.hindawi.com/journals/ddns/2016/1289456/abs/
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spelling my.upm.eprints.565372017-08-01T08:55:42Z http://psasir.upm.edu.my/id/eprint/56537/ Linear pursuit differential game under phase constraint on the state of evader Rakhmanov, Askar Ibragimov, Gafurjan Ferrara, Massimiliano We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that pursuit is completed, if inclusion y(t1) - x(t1) ϵ M is satisfied at some t1 > 0, where x(t) and y(t) are states of pursuer and evader, respectively, and M is terminal set. Conditions of completion of pursuit in the game from all initial points of players are obtained. Strategy of the pursuer is constructed so that the phase vector of the pursuer first is brought to a given set, and then pursuit is completed. Hindawi Publishing Corporation 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56537/1/56537.pdf Rakhmanov, Askar and Ibragimov, Gafurjan and Ferrara, Massimiliano (2016) Linear pursuit differential game under phase constraint on the state of evader. Discrete Dynamics in Nature and Society, 2016. art. no. 1289456. pp. 1-6. ISSN 1026-0226; ESSN: 1607-887X https://www.hindawi.com/journals/ddns/2016/1289456/abs/ 10.1155/2016/1289456
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 a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that pursuit is completed, if inclusion y(t1) - x(t1) ϵ M is satisfied at some t1 > 0, where x(t) and y(t) are states of pursuer and evader, respectively, and M is terminal set. Conditions of completion of pursuit in the game from all initial points of players are obtained. Strategy of the pursuer is constructed so that the phase vector of the pursuer first is brought to a given set, and then pursuit is completed.
format Article
author Rakhmanov, Askar
Ibragimov, Gafurjan
Ferrara, Massimiliano
spellingShingle Rakhmanov, Askar
Ibragimov, Gafurjan
Ferrara, Massimiliano
Linear pursuit differential game under phase constraint on the state of evader
author_facet Rakhmanov, Askar
Ibragimov, Gafurjan
Ferrara, Massimiliano
author_sort Rakhmanov, Askar
title Linear pursuit differential game under phase constraint on the state of evader
title_short Linear pursuit differential game under phase constraint on the state of evader
title_full Linear pursuit differential game under phase constraint on the state of evader
title_fullStr Linear pursuit differential game under phase constraint on the state of evader
title_full_unstemmed Linear pursuit differential game under phase constraint on the state of evader
title_sort linear pursuit differential game under phase constraint on the state of evader
publisher Hindawi Publishing Corporation
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/56537/1/56537.pdf
http://psasir.upm.edu.my/id/eprint/56537/
https://www.hindawi.com/journals/ddns/2016/1289456/abs/
_version_ 1643836220506112000
score 13.211869

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