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Optimal pursuit time in differential game for an infinite system of differential equations

We consider a differential game of one pursuer and one evader. The game is described by an infinite system of first order differential equations. Control functions of the players are subject to coordinate-wise integral constraints. Game is said to be completed if each component of state vector equal...

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Main Authors: Ibragimov, Gafurjan, Mat Hasim, Risman, Rakhmanov, Askar, Alias, Idham Arif
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2016
Online Access:http://psasir.upm.edu.my/id/eprint/52382/1/PM32-Gafur_Idham.pdf
http://psasir.upm.edu.my/id/eprint/52382/
http://einspem.upm.edu.my/journal/fullpaper/vol10saugust/PM32-Gafur_Idham.pdf
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spelling my.upm.eprints.523822017-06-06T08:16:01Z http://psasir.upm.edu.my/id/eprint/52382/ Optimal pursuit time in differential game for an infinite system of differential equations Ibragimov, Gafurjan Mat Hasim, Risman Rakhmanov, Askar Alias, Idham Arif We consider a differential game of one pursuer and one evader. The game is described by an infinite system of first order differential equations. Control functions of the players are subject to coordinate-wise integral constraints. Game is said to be completed if each component of state vector equal to zero at some unspecified time. The pursuer tries to complete the game and the evader pursues the opposite goal. A formula for optimal pursuit time is found and optimal strategies of players are constructed. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52382/1/PM32-Gafur_Idham.pdf Ibragimov, Gafurjan and Mat Hasim, Risman and Rakhmanov, Askar and Alias, Idham Arif (2016) Optimal pursuit time in differential game for an infinite system of differential equations. Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.). pp. 267-277. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10saugust/PM32-Gafur_Idham.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 consider a differential game of one pursuer and one evader. The game is described by an infinite system of first order differential equations. Control functions of the players are subject to coordinate-wise integral constraints. Game is said to be completed if each component of state vector equal to zero at some unspecified time. The pursuer tries to complete the game and the evader pursues the opposite goal. A formula for optimal pursuit time is found and optimal strategies of players are constructed.
format Article
author Ibragimov, Gafurjan
Mat Hasim, Risman
Rakhmanov, Askar
Alias, Idham Arif
spellingShingle Ibragimov, Gafurjan
Mat Hasim, Risman
Rakhmanov, Askar
Alias, Idham Arif
Optimal pursuit time in differential game for an infinite system of differential equations
author_facet Ibragimov, Gafurjan
Mat Hasim, Risman
Rakhmanov, Askar
Alias, Idham Arif
author_sort Ibragimov, Gafurjan
title Optimal pursuit time in differential game for an infinite system of differential equations
title_short Optimal pursuit time in differential game for an infinite system of differential equations
title_full Optimal pursuit time in differential game for an infinite system of differential equations
title_fullStr Optimal pursuit time in differential game for an infinite system of differential equations
title_full_unstemmed Optimal pursuit time in differential game for an infinite system of differential equations
title_sort optimal pursuit time in differential game for an infinite system of differential equations
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/52382/1/PM32-Gafur_Idham.pdf
http://psasir.upm.edu.my/id/eprint/52382/
http://einspem.upm.edu.my/journal/fullpaper/vol10saugust/PM32-Gafur_Idham.pdf
_version_ 1643835231898173440
score 13.211869

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