Pursuit game problem of an infinite system of differential equations with geometric and integral constraints
The present paper considers a pursuit game problem of an infinite system of 1st-order differential equations in the space l 2. In the game, the player's control functions satisfy both geometric and integral constraints. The pursuer's action is to force the state of the system to coincides...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/73685/ http://psasir.upm.edu.my/id/eprint/73685/1/Pursuit%20game%20problem%20of%20an%20infinite%20system%20of%20differential%20equations%20with%20geometric%20and%20integral%20constraints.pdf |
| _version_ | 1848857336019419136 |
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| author | Waziri, Usman Gafurjan, Ibragimov Alias, Idham Arif Ibrahim, Zarina Bibi |
| author_facet | Waziri, Usman Gafurjan, Ibragimov Alias, Idham Arif Ibrahim, Zarina Bibi |
| author_sort | Waziri, Usman |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The present paper considers a pursuit game problem of an infinite system of 1st-order differential equations in the space l 2. In the game, the player's control functions satisfy both geometric and integral constraints. The pursuer's action is to force the state of the system to coincides with another state for a finite time and the evader's action is to retrieve this. In each case, we obtain a condition for the completion of the game for which the pursuer's strategy is explicitly constructed. In addition, we study a control problem. |
| first_indexed | 2025-11-15T11:55:55Z |
| format | Article |
| id | upm-73685 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:55:55Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-736852020-05-09T18:21:44Z http://psasir.upm.edu.my/id/eprint/73685/ Pursuit game problem of an infinite system of differential equations with geometric and integral constraints Waziri, Usman Gafurjan, Ibragimov Alias, Idham Arif Ibrahim, Zarina Bibi The present paper considers a pursuit game problem of an infinite system of 1st-order differential equations in the space l 2. In the game, the player's control functions satisfy both geometric and integral constraints. The pursuer's action is to force the state of the system to coincides with another state for a finite time and the evader's action is to retrieve this. In each case, we obtain a condition for the completion of the game for which the pursuer's strategy is explicitly constructed. In addition, we study a control problem. IOP Publishing 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/73685/1/Pursuit%20game%20problem%20of%20an%20infinite%20system%20of%20differential%20equations%20with%20geometric%20and%20integral%20constraints.pdf Waziri, Usman and Gafurjan, Ibragimov and Alias, Idham Arif and Ibrahim, Zarina Bibi (2018) Pursuit game problem of an infinite system of differential equations with geometric and integral constraints. Journal of Physics: Conference Series, 1132. art. no. 012054. pp. 1-9. ISSN 1742-6588; ESSN: 1742-6596 10.1088/1742-6596/1132/1/012054 |
| spellingShingle | Waziri, Usman Gafurjan, Ibragimov Alias, Idham Arif Ibrahim, Zarina Bibi Pursuit game problem of an infinite system of differential equations with geometric and integral constraints |
| title | Pursuit game problem of an infinite system of differential equations with geometric and integral constraints |
| title_full | Pursuit game problem of an infinite system of differential equations with geometric and integral constraints |
| title_fullStr | Pursuit game problem of an infinite system of differential equations with geometric and integral constraints |
| title_full_unstemmed | Pursuit game problem of an infinite system of differential equations with geometric and integral constraints |
| title_short | Pursuit game problem of an infinite system of differential equations with geometric and integral constraints |
| title_sort | pursuit game problem of an infinite system of differential equations with geometric and integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/73685/ http://psasir.upm.edu.my/id/eprint/73685/ http://psasir.upm.edu.my/id/eprint/73685/1/Pursuit%20game%20problem%20of%20an%20infinite%20system%20of%20differential%20equations%20with%20geometric%20and%20integral%20constraints.pdf |