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 English |
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Universiti Putra Malaysia
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/18815/ http://umpir.ump.edu.my/id/eprint/18815/1/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations.pdf http://umpir.ump.edu.my/id/eprint/18815/7/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations%201.pdf |
| _version_ | 1848820765521084416 |
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| author | G., Ibragimov Ahmedov, Anvarjon A. Puteri, Nur Izzati N. , Abdul Manaf |
| author_facet | G., Ibragimov Ahmedov, Anvarjon A. Puteri, Nur Izzati N. , Abdul Manaf |
| author_sort | G., Ibragimov |
| building | UMP 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 | 2025-11-15T02:14:39Z |
| format | Article |
| id | ump-18815 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T02:14:39Z |
| publishDate | 2017 |
| publisher | Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-188152017-11-17T02:10:37Z http://umpir.ump.edu.my/id/eprint/18815/ Pursuit Differential Game Described by Infinite First Order 2-Systems of Differential Equations G., Ibragimov Ahmedov, Anvarjon A. Puteri, Nur Izzati N. , Abdul Manaf Q Science (General) 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 application/pdf en http://umpir.ump.edu.my/id/eprint/18815/1/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/18815/7/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations%201.pdf G., Ibragimov and Ahmedov, Anvarjon A. and Puteri, Nur Izzati and N. , Abdul Manaf (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 18238343. (Published) http://psasir.upm.edu.my/56531/1/4.pdf |
| spellingShingle | Q Science (General) G., Ibragimov Ahmedov, Anvarjon A. Puteri, Nur Izzati N. , Abdul Manaf 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 | Q Science (General) |
| url | http://umpir.ump.edu.my/id/eprint/18815/ http://umpir.ump.edu.my/id/eprint/18815/ http://umpir.ump.edu.my/id/eprint/18815/1/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations.pdf http://umpir.ump.edu.my/id/eprint/18815/7/Pursuit%20Differential%20Game%20Described%20by%20Infinite%20First%20Order%202-Systems%20of%20Differential%20Equations%201.pdf |