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 |
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Universiti Putra Malaysia
2017
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| _version_ | 1796862578573443072 |
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| author | Ibragimov, G. Akhmedov, A. Izzati, P. N. Abdul Manaf, N. |
| author_facet | Ibragimov, G. Akhmedov, A. Izzati, P. N. Abdul Manaf, N. |
| author_sort | Ibragimov, G. |
| collection | ePrints |
| 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 | 2024-03-05T20:13:44Z |
| format | Article |
| id | utm.eprints-76822 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:13:44Z |
| publishDate | 2017 |
| publisher | Universiti Putra Malaysia |
| record_format | dspace |
| spelling | utm.eprints-768222018-04-30T14:10:37Z http://eprints.utm.my/76822/ Pursuit differential game described by infinite first order 2-systems of differential equations Ibragimov, G. Akhmedov, A. Izzati, P. N. Abdul Manaf, N. QA Mathematics 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. Universiti Putra Malaysia 2017 Article PeerReviewed Ibragimov, G. and Akhmedov, A. and Izzati, P. N. and Abdul Manaf, N. (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 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85028931990&partnerID=40&md5=5611fe9cdfd1d6d6b751aad7a6f87604 |
| spellingShingle | QA Mathematics Ibragimov, G. Akhmedov, A. Izzati, P. N. Abdul Manaf, N. 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 |
| topic | QA Mathematics |
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