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Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints

In this paper, we study a differential game of many pursuers and one evader in R2. The motions of all players are simple. An integral constraint is imposed on each coordinate of the control functions of players. We say that pursuit is completed if the state of a pursuer coincides with that of the ev...

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Main Authors: Alias, Idham Arif, Ibragimov, Gafurjan, Kuchkarov, Atamurat, Sotvoldiyev, Akmal
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2016
Online Access:http://psasir.upm.edu.my/id/eprint/52341/1/5.%20Gafurjan_Idham.pdf
http://psasir.upm.edu.my/id/eprint/52341/
http://einspem.upm.edu.my/journal/fullpaper/vol10no2may/5.%20Gafurjan_Idham.pdf
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spelling my.upm.eprints.523412017-06-05T09:24:18Z http://psasir.upm.edu.my/id/eprint/52341/ Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints Alias, Idham Arif Ibragimov, Gafurjan Kuchkarov, Atamurat Sotvoldiyev, Akmal In this paper, we study a differential game of many pursuers and one evader in R2. The motions of all players are simple. An integral constraint is imposed on each coordinate of the control functions of players. We say that pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The pursuers try to complete the pursuit, and the evader tries to avoid this. Sufficient conditions for completion of the differential game were obtained. The strategies of the pursuers are constructed based on the current values of control parameter of the evader. Also an illustrative example is provided. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52341/1/5.%20Gafurjan_Idham.pdf Alias, Idham Arif and Ibragimov, Gafurjan and Kuchkarov, Atamurat and Sotvoldiyev, Akmal (2016) Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints. Malaysian Journal of Mathematical Sciences, 10 (2). pp. 195-207. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10no2may/5.%20Gafurjan_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 In this paper, we study a differential game of many pursuers and one evader in R2. The motions of all players are simple. An integral constraint is imposed on each coordinate of the control functions of players. We say that pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The pursuers try to complete the pursuit, and the evader tries to avoid this. Sufficient conditions for completion of the differential game were obtained. The strategies of the pursuers are constructed based on the current values of control parameter of the evader. Also an illustrative example is provided.
format Article
author Alias, Idham Arif
Ibragimov, Gafurjan
Kuchkarov, Atamurat
Sotvoldiyev, Akmal
spellingShingle Alias, Idham Arif
Ibragimov, Gafurjan
Kuchkarov, Atamurat
Sotvoldiyev, Akmal
Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
author_facet Alias, Idham Arif
Ibragimov, Gafurjan
Kuchkarov, Atamurat
Sotvoldiyev, Akmal
author_sort Alias, Idham Arif
title Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
title_short Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
title_full Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
title_fullStr Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
title_full_unstemmed Differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
title_sort differential game with many pursuers when controls are subjected to coordinate-wise integral constraints
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/52341/1/5.%20Gafurjan_Idham.pdf
http://psasir.upm.edu.my/id/eprint/52341/
http://einspem.upm.edu.my/journal/fullpaper/vol10no2may/5.%20Gafurjan_Idham.pdf
_version_ 1643835219756711936
score 13.211869

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