Multi-pursuer pursuit differential game for an infinite system of second order differential equations
We study a pursuit differential game of many pursuers and one evader. The game is described by the infinite systems of m inertial equations. By definition, pursuit in the game is completed if the state and its derivative of one of the systems are equal to zero at some time. In the literature, such a...
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| Format: | Article |
| Language: | English |
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Udmurt State University
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/112823/ http://psasir.upm.edu.my/id/eprint/112823/1/112823.pdf |
| _version_ | 1848866047334023168 |
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| author | Kazimirova, R.Yu. Ibragimov, G.I. Hasim, R.M. |
| author_facet | Kazimirova, R.Yu. Ibragimov, G.I. Hasim, R.M. |
| author_sort | Kazimirova, R.Yu. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study a pursuit differential game of many pursuers and one evader. The game is described by the infinite systems of m inertial equations. By definition, pursuit in the game is completed if the state and its derivative of one of the systems are equal to zero at some time. In the literature, such a condition of completion of pursuit is also called soft landing. We obtain a condition in terms of energies of players which is sufficient for completion of pursuit in the game. The pursuit strategies are also constructed. © 2024 Udmurt State University. All rights reserved. |
| first_indexed | 2025-11-15T14:14:23Z |
| format | Article |
| id | upm-112823 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:14:23Z |
| publishDate | 2024 |
| publisher | Udmurt State University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1128232024-11-07T03:06:34Z http://psasir.upm.edu.my/id/eprint/112823/ Multi-pursuer pursuit differential game for an infinite system of second order differential equations Kazimirova, R.Yu. Ibragimov, G.I. Hasim, R.M. We study a pursuit differential game of many pursuers and one evader. The game is described by the infinite systems of m inertial equations. By definition, pursuit in the game is completed if the state and its derivative of one of the systems are equal to zero at some time. In the literature, such a condition of completion of pursuit is also called soft landing. We obtain a condition in terms of energies of players which is sufficient for completion of pursuit in the game. The pursuit strategies are also constructed. © 2024 Udmurt State University. All rights reserved. Udmurt State University 2024 Article PeerReviewed text en cc_by_4 http://psasir.upm.edu.my/id/eprint/112823/1/112823.pdf Kazimirova, R.Yu. and Ibragimov, G.I. and Hasim, R.M. (2024) Multi-pursuer pursuit differential game for an infinite system of second order differential equations. Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 34 (1). pp. 48-64. ISSN 1994-9197; eISSN: 2076-5959 https://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=vuu&paperid=878&option_lang=eng 10.35634/vm240104 |
| spellingShingle | Kazimirova, R.Yu. Ibragimov, G.I. Hasim, R.M. Multi-pursuer pursuit differential game for an infinite system of second order differential equations |
| title | Multi-pursuer pursuit differential game for an infinite system of second order differential equations |
| title_full | Multi-pursuer pursuit differential game for an infinite system of second order differential equations |
| title_fullStr | Multi-pursuer pursuit differential game for an infinite system of second order differential equations |
| title_full_unstemmed | Multi-pursuer pursuit differential game for an infinite system of second order differential equations |
| title_short | Multi-pursuer pursuit differential game for an infinite system of second order differential equations |
| title_sort | multi-pursuer pursuit differential game for an infinite system of second order differential equations |
| url | http://psasir.upm.edu.my/id/eprint/112823/ http://psasir.upm.edu.my/id/eprint/112823/ http://psasir.upm.edu.my/id/eprint/112823/ http://psasir.upm.edu.my/id/eprint/112823/1/112823.pdf |