Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.]
This paper investigates a pursuit game of an infinite 3-system of differential equations involving one pursuer and one evader. Integral constraints are imposed on the players' control parameters where the resource of the pursuer is greater than that of the evader. The aim of the pursuer is to b...
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Universiti Teknologi MARA, Kelantan
2023
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my.uitm.ir.891142024-03-21T02:49:22Z https://ir.uitm.edu.my/id/eprint/89114/ Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.] jmcs Madhavan, Diviekga Nair Alias, Idham Arif Ibragimov, Gafurjan Mat Hasim, Risman Equations System design This paper investigates a pursuit game of an infinite 3-system of differential equations involving one pursuer and one evader. Integral constraints are imposed on the players' control parameters where the resource of the pursuer is greater than that of the evader. The aim of the pursuer is to bring the initial state ξ0 of the system into another non-zero state ξ1 of the system at some time on a finite time interval to complete the pursuit. We constructed a control function needed in solving control problems of the system and developed an admissible pursuer's strategy to solve the pursuit problem. Pursuit is shown to be completed in the game as the state of the system reaches state ξ1 at a finite time θ > 0. Universiti Teknologi MARA, Kelantan 2023-12-16 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/89114/1/89114.pdf Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.]. (2023) Journal of Mathematics and Computing Science <https://ir.uitm.edu.my/view/publication/Journal_of_Mathematics_and_Computing_Science/>, 9 (2): 11. pp. 56-66. ISSN 0128-0767 https://journal.uitm.edu.my/ojs/index.php/JMCS |
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Equations System design Madhavan, Diviekga Nair Alias, Idham Arif Ibragimov, Gafurjan Mat Hasim, Risman Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.] |
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This paper investigates a pursuit game of an infinite 3-system of differential equations involving one pursuer and one evader. Integral constraints are imposed on the players' control parameters where the resource of the pursuer is greater than that of the evader. The aim of the pursuer is to bring the initial state ξ0 of the system into another non-zero state ξ1 of the system at some time on a finite time interval to complete the pursuit. We constructed a control function needed in solving control problems of the system and developed an admissible pursuer's strategy to solve the pursuit problem. Pursuit is shown to be completed in the game as the state of the system reaches state ξ1 at a finite time θ > 0. |
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Article |
author |
Madhavan, Diviekga Nair Alias, Idham Arif Ibragimov, Gafurjan Mat Hasim, Risman |
author_facet |
Madhavan, Diviekga Nair Alias, Idham Arif Ibragimov, Gafurjan Mat Hasim, Risman |
author_sort |
Madhavan, Diviekga Nair |
title |
Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.] |
title_short |
Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.] |
title_full |
Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.] |
title_fullStr |
Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.] |
title_full_unstemmed |
Integral constraints pursuit problem for 3-system of differential equations in hilbert space / Diviekga Nair Madhavan ...[et al.] |
title_sort |
integral constraints pursuit problem for 3-system of differential equations in hilbert space / diviekga nair madhavan ...[et al.] |
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Universiti Teknologi MARA, Kelantan |
publishDate |
2023 |
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https://ir.uitm.edu.my/id/eprint/89114/1/89114.pdf https://ir.uitm.edu.my/id/eprint/89114/ https://journal.uitm.edu.my/ojs/index.php/JMCS |
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1794641282231959552 |