Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players

Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players

We consider an evasion differential game of many pursuers and one evader with integral constraints in the plane. The game is described by simple equations. Each component of the control functions of players is subjected to integral constraint. Evasion is said to be possible if the state of the evade...

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Main Authors: Gafurjan Ibragimov, Yusra Salleh
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/748096
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spelling doaj-3fe00fc951eb4a26aeb79c45a52b2a172020-11-25T00:21:38ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/748096748096Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of PlayersGafurjan Ibragimov0Yusra Salleh1INSPEM and Department of Mathematics, UPM, 43400 Serdang, MalaysiaINSPEM and Department of Mathematics, UPM, 43400 Serdang, MalaysiaWe consider an evasion differential game of many pursuers and one evader with integral constraints in the plane. The game is described by simple equations. Each component of the control functions of players is subjected to integral constraint. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of the evader is constructed based on controls of the pursuers with lag. A sufficient condition of evasion from many pursuers is obtained and an illustrative example is provided.http://dx.doi.org/10.1155/2012/748096
collection DOAJ
language English
format Article
sources DOAJ
author Gafurjan Ibragimov
Yusra Salleh
spellingShingle Gafurjan Ibragimov
Yusra Salleh
Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
Journal of Applied Mathematics
author_facet Gafurjan Ibragimov
Yusra Salleh
author_sort Gafurjan Ibragimov
title Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
title_short Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
title_full Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
title_fullStr Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
title_full_unstemmed Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
title_sort simple motion evasion differential game of many pursuers and one evader with integral constraints on control functions of players
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description We consider an evasion differential game of many pursuers and one evader with integral constraints in the plane. The game is described by simple equations. Each component of the control functions of players is subjected to integral constraint. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of the evader is constructed based on controls of the pursuers with lag. A sufficient condition of evasion from many pursuers is obtained and an illustrative example is provided.
url http://dx.doi.org/10.1155/2012/748096
work_keys_str_mv AT gafurjanibragimov simplemotionevasiondifferentialgameofmanypursuersandoneevaderwithintegralconstraintsoncontrolfunctionsofplayers
AT yusrasalleh simplemotionevasiondifferentialgameofmanypursuersandoneevaderwithintegralconstraintsoncontrolfunctionsofplayers
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