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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Putra Malaysia
2024
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/114931/ http://psasir.upm.edu.my/id/eprint/114931/1/114931.pdf |
| _version_ | 1848866637879443456 |
|---|---|
| author | Madhavan, D.N. Alias, I.A. Ibragimov, G. Hasim, R.M. |
| author_facet | Madhavan, D.N. Alias, I.A. Ibragimov, G. Hasim, R.M. |
| author_sort | Madhavan, D.N. |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T14:23:46Z |
| format | Article |
| id | upm-114931 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:23:46Z |
| publishDate | 2024 |
| publisher | Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/114931/ http://psasir.upm.edu.my/id/eprint/114931/ http://psasir.upm.edu.my/id/eprint/114931/ http://psasir.upm.edu.my/id/eprint/114931/1/114931.pdf |