Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations

We study a pursuit differential game problem for infinite first order 2-systems of differential equations in the Hilbert space l2. Geometric constraints are imposed on controls of players. If the state of system coincides with the origin, then we say that pursuit is completed. In the game, pursuer t...

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Main Authors:	G., Ibragimov, Ahmedov, Anvarjon A., Puteri, Nur Izzati, N. , Abdul Manaf
Format:	Article
Language:	English English
Published:	Universiti Putra Malaysia 2017
Subjects:	Q Science (General)
Online Access:	http://umpir.ump.edu.my/id/eprint/18815/ http://umpir.ump.edu.my/id/eprint/18815/ http://umpir.ump.edu.my/id/eprint/18815/1/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations.pdf http://umpir.ump.edu.my/id/eprint/18815/7/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations%201.pdf

id	ump-18815
recordtype	eprints
spelling	ump-188152017-11-17T02:10:37Z http://umpir.ump.edu.my/id/eprint/18815/ Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations G., Ibragimov Ahmedov, Anvarjon A. Puteri, Nur Izzati N. , Abdul Manaf Q Science (General) We study a pursuit differential game problem for infinite first order 2-systems of differential equations in the Hilbert space l2. Geometric constraints are imposed on controls of players. If the state of system coincides with the origin, then we say that pursuit is completed. In the game, pursuer tries to complete the game, while the aim of evader is opposite. The problem is to find a formula for guaranteed pursuit time. In the present paper, an equation for guaranteed pursuit time is obtained. Moreover, a strategy for the pursuer is constructed in explicit form. To prove the main result, we use solution of a control problem. Universiti Putra Malaysia 2017 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/18815/1/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/18815/7/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations%201.pdf G., Ibragimov and Ahmedov, Anvarjon A. and Puteri, Nur Izzati and N. , Abdul Manaf (2017) Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations. Malaysian Journal of Mathematical Sciences, 11 (2). pp. 181-190. ISSN 18238343 http://psasir.upm.edu.my/56531/1/4.pdf
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English English
topic	Q Science (General)
spellingShingle	Q Science (General) G., Ibragimov Ahmedov, Anvarjon A. Puteri, Nur Izzati N. , Abdul Manaf Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations
description	We study a pursuit differential game problem for infinite first order 2-systems of differential equations in the Hilbert space l2. Geometric constraints are imposed on controls of players. If the state of system coincides with the origin, then we say that pursuit is completed. In the game, pursuer tries to complete the game, while the aim of evader is opposite. The problem is to find a formula for guaranteed pursuit time. In the present paper, an equation for guaranteed pursuit time is obtained. Moreover, a strategy for the pursuer is constructed in explicit form. To prove the main result, we use solution of a control problem.
format	Article
author	G., Ibragimov Ahmedov, Anvarjon A. Puteri, Nur Izzati N. , Abdul Manaf
author_facet	G., Ibragimov Ahmedov, Anvarjon A. Puteri, Nur Izzati N. , Abdul Manaf
author_sort	G., Ibragimov
title	Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations
title_short	Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations
title_full	Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations
title_fullStr	Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations
title_full_unstemmed	Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations
title_sort	pursuit differential game described by infinite first order 2-systems of differential equations
publisher	Universiti Putra Malaysia
publishDate	2017
url	http://umpir.ump.edu.my/id/eprint/18815/ http://umpir.ump.edu.my/id/eprint/18815/ http://umpir.ump.edu.my/id/eprint/18815/1/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations.pdf http://umpir.ump.edu.my/id/eprint/18815/7/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations%201.pdf
first_indexed	2023-09-18T22:26:50Z
last_indexed	2023-09-18T22:26:50Z
_version_	1777416023033511936

Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations

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