Linear discrete pursuit game with phase constraints
We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Position of the evader satisfies phase constraints: , where is a subset of . We considered two cases: (1) controls of the players satisfy geometric constraints, and...
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/34384/ http://psasir.upm.edu.my/id/eprint/34384/1/Linear%20Discrete%20Pursuit%20Game%20with%20Phase%20Constraints.pdf |
| _version_ | 1848847757472694272 |
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| author | Raxmanov, Asqar Ibragimov, Gafurjan |
| author_facet | Raxmanov, Asqar Ibragimov, Gafurjan |
| author_sort | Raxmanov, Asqar |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Position of the evader satisfies phase constraints: , where is a subset of . We considered two cases: (1) controls of the players satisfy geometric constraints, and (2) controls of the players satisfy total constraints. Terminal set is a subset of and it is assumed to have a nonempty interior. Game is said to be completed if at some step ; thus, the evader has not the right to leave set . To construct the control of the pursuer, at each step , we use the value of the control parameter of the evader at the step . We obtain sufficient conditions of completion of pursuit from certain initial positions of the players in finite time interval and construct a control for the pursuer in explicit form. |
| first_indexed | 2025-11-15T09:23:41Z |
| format | Article |
| id | upm-34384 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:23:41Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-343842015-12-15T01:31:49Z http://psasir.upm.edu.my/id/eprint/34384/ Linear discrete pursuit game with phase constraints Raxmanov, Asqar Ibragimov, Gafurjan We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Position of the evader satisfies phase constraints: , where is a subset of . We considered two cases: (1) controls of the players satisfy geometric constraints, and (2) controls of the players satisfy total constraints. Terminal set is a subset of and it is assumed to have a nonempty interior. Game is said to be completed if at some step ; thus, the evader has not the right to leave set . To construct the control of the pursuer, at each step , we use the value of the control parameter of the evader at the step . We obtain sufficient conditions of completion of pursuit from certain initial positions of the players in finite time interval and construct a control for the pursuer in explicit form. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/34384/1/Linear%20Discrete%20Pursuit%20Game%20with%20Phase%20Constraints.pdf Raxmanov, Asqar and Ibragimov, Gafurjan (2014) Linear discrete pursuit game with phase constraints. The Scientific World Journal, 2014. art. no. 435103. pp. 1-5. ISSN 2356-6140; ESSN: 1537-744X http://www.hindawi.com/journals/tswj/2014/435103/abs/ 10.1155/2014/435103 |
| spellingShingle | Raxmanov, Asqar Ibragimov, Gafurjan Linear discrete pursuit game with phase constraints |
| title | Linear discrete pursuit game with phase constraints |
| title_full | Linear discrete pursuit game with phase constraints |
| title_fullStr | Linear discrete pursuit game with phase constraints |
| title_full_unstemmed | Linear discrete pursuit game with phase constraints |
| title_short | Linear discrete pursuit game with phase constraints |
| title_sort | linear discrete pursuit game with phase constraints |
| url | http://psasir.upm.edu.my/id/eprint/34384/ http://psasir.upm.edu.my/id/eprint/34384/ http://psasir.upm.edu.my/id/eprint/34384/ http://psasir.upm.edu.my/id/eprint/34384/1/Linear%20Discrete%20Pursuit%20Game%20with%20Phase%20Constraints.pdf |