Optimal pursuit time in differential game for an infinite system of differential equations
We consider a differential game of one pursuer and one evader. The game is described by an infinite system of first order differential equations. Control functions of the players are subject to coordinate-wise integral constraints. Game is said to be completed if each component of state vector equal...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52382/1/PM32-Gafur_Idham.pdf |
| _version_ | 1825930714451804160 |
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| author | Ibragimov, Gafurjan Mat Hasim, Risman Rakhmanov, Askar Alias, Idham Arif |
| author_facet | Ibragimov, Gafurjan Mat Hasim, Risman Rakhmanov, Askar Alias, Idham Arif |
| author_sort | Ibragimov, Gafurjan |
| collection | UPM |
| description | We consider a differential game of one pursuer and one evader. The game is described by an infinite system of first order differential equations. Control functions of the players are subject to coordinate-wise integral constraints. Game is said to be completed if each component of state vector equal to zero at some unspecified time. The pursuer tries to complete the game and the evader pursues the opposite goal. A formula for optimal pursuit time is found and optimal strategies of players are constructed. |
| first_indexed | 2024-03-06T09:15:45Z |
| format | Article |
| id | upm.eprints-52382 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:15:45Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-523822017-06-06T08:16:01Z http://psasir.upm.edu.my/id/eprint/52382/ Optimal pursuit time in differential game for an infinite system of differential equations Ibragimov, Gafurjan Mat Hasim, Risman Rakhmanov, Askar Alias, Idham Arif We consider a differential game of one pursuer and one evader. The game is described by an infinite system of first order differential equations. Control functions of the players are subject to coordinate-wise integral constraints. Game is said to be completed if each component of state vector equal to zero at some unspecified time. The pursuer tries to complete the game and the evader pursues the opposite goal. A formula for optimal pursuit time is found and optimal strategies of players are constructed. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52382/1/PM32-Gafur_Idham.pdf Ibragimov, Gafurjan and Mat Hasim, Risman and Rakhmanov, Askar and Alias, Idham Arif (2016) Optimal pursuit time in differential game for an infinite system of differential equations. Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.). pp. 267-277. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10saugust/PM32-Gafur_Idham.pdf |
| spellingShingle | Ibragimov, Gafurjan Mat Hasim, Risman Rakhmanov, Askar Alias, Idham Arif Optimal pursuit time in differential game for an infinite system of differential equations |
| title | Optimal pursuit time in differential game for an infinite system of differential equations |
| title_full | Optimal pursuit time in differential game for an infinite system of differential equations |
| title_fullStr | Optimal pursuit time in differential game for an infinite system of differential equations |
| title_full_unstemmed | Optimal pursuit time in differential game for an infinite system of differential equations |
| title_short | Optimal pursuit time in differential game for an infinite system of differential equations |
| title_sort | optimal pursuit time in differential game for an infinite system of differential equations |
| url | http://psasir.upm.edu.my/id/eprint/52382/1/PM32-Gafur_Idham.pdf |
| work_keys_str_mv | AT ibragimovgafurjan optimalpursuittimeindifferentialgameforaninfinitesystemofdifferentialequations AT mathasimrisman optimalpursuittimeindifferentialgameforaninfinitesystemofdifferentialequations AT rakhmanovaskar optimalpursuittimeindifferentialgameforaninfinitesystemofdifferentialequations AT aliasidhamarif optimalpursuittimeindifferentialgameforaninfinitesystemofdifferentialequations |