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A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions

We consider a pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals...

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Main Authors: Ibragimov, Gafurjan, Tukhtasinov, Muminjon, Mat Hasim, Risman, Alias, Idham Arif
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2015
Online Access:http://psasir.upm.edu.my/id/eprint/36236/1/36236.pdf
http://psasir.upm.edu.my/id/eprint/36236/
http://einspem.upm.edu.my/journal/fullpaper/vol9/5.%20gafurjan%20et%20al.pdf
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spelling my.upm.eprints.362362015-08-30T10:06:43Z http://psasir.upm.edu.my/id/eprint/36236/ A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions Ibragimov, Gafurjan Tukhtasinov, Muminjon Mat Hasim, Risman Alias, Idham Arif We consider a pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals zero at some time. A sufficient condition of completion of pursuit is obtained. Strategy for the pursuer is constructed and an explicit formula for the guaranteed pursuit time is given. Institute for Mathematical Research, Universiti Putra Malaysia 2015-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36236/1/36236.pdf Ibragimov, Gafurjan and Tukhtasinov, Muminjon and Mat Hasim, Risman and Alias, Idham Arif (2015) A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions. Malaysian Journal of Mathematical Sciences, 9 (1). pp. 67-76. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol9/5.%20gafurjan%20et%20al.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 pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals zero at some time. A sufficient condition of completion of pursuit is obtained. Strategy for the pursuer is constructed and an explicit formula for the guaranteed pursuit time is given.
format Article
author Ibragimov, Gafurjan
Tukhtasinov, Muminjon
Mat Hasim, Risman
Alias, Idham Arif
spellingShingle Ibragimov, Gafurjan
Tukhtasinov, Muminjon
Mat Hasim, Risman
Alias, Idham Arif
A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions
author_facet Ibragimov, Gafurjan
Tukhtasinov, Muminjon
Mat Hasim, Risman
Alias, Idham Arif
author_sort Ibragimov, Gafurjan
title A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions
title_short A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions
title_full A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions
title_fullStr A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions
title_full_unstemmed A pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions
title_sort pursuit problem described by infinite system of differential equations with coordinate-wise integral constraints on control functions
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/36236/1/36236.pdf
http://psasir.upm.edu.my/id/eprint/36236/
http://einspem.upm.edu.my/journal/fullpaper/vol9/5.%20gafurjan%20et%20al.pdf
_version_ 1643831688313176064
score 13.209306

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