Pursuit differential game described by infinite first order 2-systems of differential equations
We study a pursuit differential game problem for infinite first order 2-systems of differential equations in the Hilbert space l2. Geometric constraints are imposed on controls of players. If the state of system coincides with the origin, then we say that pursuit is completed. In the game, pursuer t...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56531/ http://psasir.upm.edu.my/id/eprint/56531/1/4.pdf |
| _version_ | 1848853109704491008 |
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| author | Ibragimov, Gafurjan Ahatjonovich, Anvarjon Ahmedov Puteri Nur Izzati, Abdul Manaf, Nur'azah |
| author_facet | Ibragimov, Gafurjan Ahatjonovich, Anvarjon Ahmedov Puteri Nur Izzati, Abdul Manaf, Nur'azah |
| author_sort | Ibragimov, Gafurjan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study a pursuit differential game problem for infinite first order 2-systems of differential equations in the Hilbert space l2. Geometric constraints are imposed on controls of players. If the state of system coincides with the origin, then we say that pursuit is completed. In the game, pursuer tries to complete the game, while the aim of evader is opposite. The problem is to find a formula for guaranteed pursuit time. In the present paper, an equation for guaranteed pursuit time is obtained. Moreover, a strategy for the pursuer is constructed in explicit form. To prove the main result, we use solution of a control problem. |
| first_indexed | 2025-11-15T10:48:45Z |
| format | Article |
| id | upm-56531 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:48:45Z |
| publishDate | 2017 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-565312017-08-01T08:54:19Z http://psasir.upm.edu.my/id/eprint/56531/ Pursuit differential game described by infinite first order 2-systems of differential equations Ibragimov, Gafurjan Ahatjonovich, Anvarjon Ahmedov Puteri Nur Izzati, Abdul Manaf, Nur'azah We study a pursuit differential game problem for infinite first order 2-systems of differential equations in the Hilbert space l2. Geometric constraints are imposed on controls of players. If the state of system coincides with the origin, then we say that pursuit is completed. In the game, pursuer tries to complete the game, while the aim of evader is opposite. The problem is to find a formula for guaranteed pursuit time. In the present paper, an equation for guaranteed pursuit time is obtained. Moreover, a strategy for the pursuer is constructed in explicit form. To prove the main result, we use solution of a control problem. Institute for Mathematical Research, Universiti Putra Malaysia 2017 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56531/1/4.pdf Ibragimov, Gafurjan and Ahatjonovich, Anvarjon Ahmedov and Puteri Nur Izzati, and Abdul Manaf, Nur'azah (2017) Pursuit differential game described by infinite first order 2-systems of differential equations. Malaysian Journal of Mathematical Sciences, 11 (2). pp. 181-190. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol112/4.pdf |
| spellingShingle | Ibragimov, Gafurjan Ahatjonovich, Anvarjon Ahmedov Puteri Nur Izzati, Abdul Manaf, Nur'azah Pursuit differential game described by infinite first order 2-systems of differential equations |
| title | Pursuit differential game described by infinite first order 2-systems of differential equations |
| title_full | Pursuit differential game described by infinite first order 2-systems of differential equations |
| title_fullStr | Pursuit differential game described by infinite first order 2-systems of differential equations |
| title_full_unstemmed | Pursuit differential game described by infinite first order 2-systems of differential equations |
| title_short | Pursuit differential game described by infinite first order 2-systems of differential equations |
| title_sort | pursuit differential game described by infinite first order 2-systems of differential equations |
| url | http://psasir.upm.edu.my/id/eprint/56531/ http://psasir.upm.edu.my/id/eprint/56531/ http://psasir.upm.edu.my/id/eprint/56531/1/4.pdf |