Differential game of optimal pursuit for an infinite system of differential equations
We study an optimal pursuit differential game problem in the Hilbert space l2r+1. The game is described by an infinite system of the first-order differential equations whose coefficients are negative. The control functions of players are subjected to integral constraints. If the state of the system...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/79386/ http://psasir.upm.edu.my/id/eprint/79386/1/Differential%20game%20of%20optimal%20.pdf |
| _version_ | 1848858666922409984 |
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| author | Ibragimov, Gafurjan Ismailovich Alias, Idham Arif Waziri, Usman Ja'afaru, Abbas Badakaya |
| author_facet | Ibragimov, Gafurjan Ismailovich Alias, Idham Arif Waziri, Usman Ja'afaru, Abbas Badakaya |
| author_sort | Ibragimov, Gafurjan Ismailovich |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study an optimal pursuit differential game problem in the Hilbert space l2r+1. The game is described by an infinite system of the first-order differential equations whose coefficients are negative. The control functions of players are subjected to integral constraints. If the state of the system coincides with the origin of the space l2r+1, then game is considered completed. We obtain an equation to find the optimal pursuit time. Moreover, we construct the optimal strategies for players. |
| first_indexed | 2025-11-15T12:17:05Z |
| format | Article |
| id | upm-79386 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:17:05Z |
| publishDate | 2019 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-793862021-03-30T22:45:03Z http://psasir.upm.edu.my/id/eprint/79386/ Differential game of optimal pursuit for an infinite system of differential equations Ibragimov, Gafurjan Ismailovich Alias, Idham Arif Waziri, Usman Ja'afaru, Abbas Badakaya We study an optimal pursuit differential game problem in the Hilbert space l2r+1. The game is described by an infinite system of the first-order differential equations whose coefficients are negative. The control functions of players are subjected to integral constraints. If the state of the system coincides with the origin of the space l2r+1, then game is considered completed. We obtain an equation to find the optimal pursuit time. Moreover, we construct the optimal strategies for players. Springer 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/79386/1/Differential%20game%20of%20optimal%20.pdf Ibragimov, Gafurjan Ismailovich and Alias, Idham Arif and Waziri, Usman and Ja'afaru, Abbas Badakaya (2019) Differential game of optimal pursuit for an infinite system of differential equations. Bulletin of the Malaysian Mathematical Sciences Society, 42 (1). pp. 394-403. ISSN 0126-6705; ESSN: 2180-4206 https://link.springer.com/article/10.1007/s40840-017-0581-x 10.1007/s40840-017-0581-x |
| spellingShingle | Ibragimov, Gafurjan Ismailovich Alias, Idham Arif Waziri, Usman Ja'afaru, Abbas Badakaya Differential game of optimal pursuit for an infinite system of differential equations |
| title | Differential game of optimal pursuit for an infinite system of differential equations |
| title_full | Differential game of optimal pursuit for an infinite system of differential equations |
| title_fullStr | Differential game of optimal pursuit for an infinite system of differential equations |
| title_full_unstemmed | Differential game of optimal pursuit for an infinite system of differential equations |
| title_short | Differential game of optimal pursuit for an infinite system of differential equations |
| title_sort | differential game of optimal pursuit for an infinite system of differential equations |
| url | http://psasir.upm.edu.my/id/eprint/79386/ http://psasir.upm.edu.my/id/eprint/79386/ http://psasir.upm.edu.my/id/eprint/79386/ http://psasir.upm.edu.my/id/eprint/79386/1/Differential%20game%20of%20optimal%20.pdf |