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Evasion differential game with coordinate-wise integral constraints on controls of players

We study an evasion differential game of one evader against one pursuer in the plane R2 with coordinate-wise integral constraints on the control functions of players. The game is described by some differential equations in terms of each coordinate. The evader moves within a small neighborhood of a v...

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Main Authors: Salleh, Yusra, Alias, Idham Arif, Gafurjan, Ibragimov
Format: Article
Published: Medwell Journals 2019
Online Access:http://psasir.upm.edu.my/id/eprint/79785/
https://medwelljournals.com/abstract/?doi=jeasci.2019.7132.7137
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spelling my.upm.eprints.797852022-11-05T15:39:39Z http://psasir.upm.edu.my/id/eprint/79785/ Evasion differential game with coordinate-wise integral constraints on controls of players Salleh, Yusra Alias, Idham Arif Gafurjan, Ibragimov We study an evasion differential game of one evader against one pursuer in the plane R2 with coordinate-wise integral constraints on the control functions of players. The game is described by some differential equations in terms of each coordinate. The evader moves within a small neighborhood of a vertical 0-axis, either by moving vertically or maneuvering. The evader maneuvers to the right, if the pursuer is on its left side and vice versa. We say that evasion is possible, if the position of the evader does not coincide with that of the pursuer at all times. We obtain a sufficient condition of evasion and construct an explicit strategy for the evader to ensure evasion. The strategies depend on the initial positions of players and a defined approached distance between the pursuer and the evader. Each strategy is shown to be admissible by using the fact that the integral constraints are coordinate-wise. By these strategies, evasion is proved to be possible from any initial position of players. Medwell Journals 2019 Article PeerReviewed Salleh, Yusra and Alias, Idham Arif and Gafurjan, Ibragimov (2019) Evasion differential game with coordinate-wise integral constraints on controls of players. Journal of Engineering and Applied Science, 14 (19). 7132 -- 7137. ISSN 1816-949X https://medwelljournals.com/abstract/?doi=jeasci.2019.7132.7137 10.36478/jeasci.2019.7132.7137
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/
description We study an evasion differential game of one evader against one pursuer in the plane R2 with coordinate-wise integral constraints on the control functions of players. The game is described by some differential equations in terms of each coordinate. The evader moves within a small neighborhood of a vertical 0-axis, either by moving vertically or maneuvering. The evader maneuvers to the right, if the pursuer is on its left side and vice versa. We say that evasion is possible, if the position of the evader does not coincide with that of the pursuer at all times. We obtain a sufficient condition of evasion and construct an explicit strategy for the evader to ensure evasion. The strategies depend on the initial positions of players and a defined approached distance between the pursuer and the evader. Each strategy is shown to be admissible by using the fact that the integral constraints are coordinate-wise. By these strategies, evasion is proved to be possible from any initial position of players.
format Article
author Salleh, Yusra
Alias, Idham Arif
Gafurjan, Ibragimov
spellingShingle Salleh, Yusra
Alias, Idham Arif
Gafurjan, Ibragimov
Evasion differential game with coordinate-wise integral constraints on controls of players
author_facet Salleh, Yusra
Alias, Idham Arif
Gafurjan, Ibragimov
author_sort Salleh, Yusra
title Evasion differential game with coordinate-wise integral constraints on controls of players
title_short Evasion differential game with coordinate-wise integral constraints on controls of players
title_full Evasion differential game with coordinate-wise integral constraints on controls of players
title_fullStr Evasion differential game with coordinate-wise integral constraints on controls of players
title_full_unstemmed Evasion differential game with coordinate-wise integral constraints on controls of players
title_sort evasion differential game with coordinate-wise integral constraints on controls of players
publisher Medwell Journals
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/79785/
https://medwelljournals.com/abstract/?doi=jeasci.2019.7132.7137
_version_ 1751538199731109888
score 13.251813

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