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Some results on pursuit games for an infinite system of ternary differential equations

This paper aims to study a one-pursuer, one evader pursuit differential game for a higher level of infinite system that is an infinite system of first order ternary differential equations, and prove completion of pursuit in the game. Both integral constraints and geometric constraints are subjected...

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Main Authors: Madhavan, D.N., Alias, I.A., Ibragimov, G., Hasim, R.M.
Format: Article
Language:English
Published: Universiti Putra Malaysia 2024
Online Access:http://psasir.upm.edu.my/id/eprint/114931/1/114931.pdf
http://psasir.upm.edu.my/id/eprint/114931/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2024/September/18/3/567-581
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spelling my.upm.eprints.1149312025-02-12T03:08:12Z http://psasir.upm.edu.my/id/eprint/114931/ Some results on pursuit games for an infinite system of ternary differential equations Madhavan, D.N. Alias, I.A. Ibragimov, G. Hasim, R.M. This paper aims to study a one-pursuer, one evader pursuit differential game for a higher level of infinite system that is an infinite system of first order ternary differential equations, and prove completion of pursuit in the game. Both integral constraints and geometric constraints are subjected on the players’ control functions, thus two separate cases of pursuit games are examined. In the game, the pursuer wants to take the state of the system into the origin of l2 space at some finite time interval, whereas evader avoids this from happening. For every case, we solve the control problem by establishing the admissible control function. In order to achieve the pursuer’s objective, we then construct an admissible strategy for the pursuer and develop an equation for the guaranteed pursuit time of the game. Universiti Putra Malaysia 2024-09 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/114931/1/114931.pdf Madhavan, D.N. and Alias, I.A. and Ibragimov, G. and Hasim, R.M. (2024) Some results on pursuit games for an infinite system of ternary differential equations. Malaysian Journal of Mathematical Sciences, 18 (3). pp. 567-581. ISSN 1823-8343; eISSN: 1823-8343 https://mjms.upm.edu.my/lihatmakalah.php?kod=2024/September/18/3/567-581 10.47836/MJMS.18.3.07
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 This paper aims to study a one-pursuer, one evader pursuit differential game for a higher level of infinite system that is an infinite system of first order ternary differential equations, and prove completion of pursuit in the game. Both integral constraints and geometric constraints are subjected on the players’ control functions, thus two separate cases of pursuit games are examined. In the game, the pursuer wants to take the state of the system into the origin of l2 space at some finite time interval, whereas evader avoids this from happening. For every case, we solve the control problem by establishing the admissible control function. In order to achieve the pursuer’s objective, we then construct an admissible strategy for the pursuer and develop an equation for the guaranteed pursuit time of the game.
format Article
author Madhavan, D.N.
Alias, I.A.
Ibragimov, G.
Hasim, R.M.
spellingShingle Madhavan, D.N.
Alias, I.A.
Ibragimov, G.
Hasim, R.M.
Some results on pursuit games for an infinite system of ternary differential equations
author_facet Madhavan, D.N.
Alias, I.A.
Ibragimov, G.
Hasim, R.M.
author_sort Madhavan, D.N.
title Some results on pursuit games for an infinite system of ternary differential equations
title_short Some results on pursuit games for an infinite system of ternary differential equations
title_full Some results on pursuit games for an infinite system of ternary differential equations
title_fullStr Some results on pursuit games for an infinite system of ternary differential equations
title_full_unstemmed Some results on pursuit games for an infinite system of ternary differential equations
title_sort some results on pursuit games for an infinite system of ternary differential equations
publisher Universiti Putra Malaysia
publishDate 2024
url http://psasir.upm.edu.my/id/eprint/114931/1/114931.pdf
http://psasir.upm.edu.my/id/eprint/114931/
https://mjms.upm.edu.my/lihatmakalah.php?kod=2024/September/18/3/567-581
_version_ 1825162400853131264
score 13.244413

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