Linear pursuit differential game under phase constraint on the state of evader
We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56537/1/56537.pdf |
| _version_ | 1825931435335221248 |
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| author | Rakhmanov, Askar Ibragimov, Gafurjan Ferrara, Massimiliano |
| author_facet | Rakhmanov, Askar Ibragimov, Gafurjan Ferrara, Massimiliano |
| author_sort | Rakhmanov, Askar |
| collection | UPM |
| description | We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that pursuit is completed, if inclusion y(t1) - x(t1) ϵ M is satisfied at some t1 > 0, where x(t) and y(t) are states of pursuer and evader, respectively, and M is terminal set. Conditions of completion of pursuit in the game from all initial points of players are obtained. Strategy of the pursuer is constructed so that the phase vector of the pursuer first is brought to a given set, and then pursuit is completed. |
| first_indexed | 2024-03-06T09:26:42Z |
| format | Article |
| id | upm.eprints-56537 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:26:42Z |
| publishDate | 2016 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-565372017-08-01T08:55:42Z http://psasir.upm.edu.my/id/eprint/56537/ Linear pursuit differential game under phase constraint on the state of evader Rakhmanov, Askar Ibragimov, Gafurjan Ferrara, Massimiliano We consider a linear pursuit differential game of one pursuer and one evader. Controls of the pursuer and evader are subjected to integral and geometric constraints, respectively. In addition, phase constraint is imposed on the state of evader, whereas pursuer moves throughout the space. We say that pursuit is completed, if inclusion y(t1) - x(t1) ϵ M is satisfied at some t1 > 0, where x(t) and y(t) are states of pursuer and evader, respectively, and M is terminal set. Conditions of completion of pursuit in the game from all initial points of players are obtained. Strategy of the pursuer is constructed so that the phase vector of the pursuer first is brought to a given set, and then pursuit is completed. Hindawi Publishing Corporation 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56537/1/56537.pdf Rakhmanov, Askar and Ibragimov, Gafurjan and Ferrara, Massimiliano (2016) Linear pursuit differential game under phase constraint on the state of evader. Discrete Dynamics in Nature and Society, 2016. art. no. 1289456. pp. 1-6. ISSN 1026-0226; ESSN: 1607-887X https://www.hindawi.com/journals/ddns/2016/1289456/abs/ 10.1155/2016/1289456 |
| spellingShingle | Rakhmanov, Askar Ibragimov, Gafurjan Ferrara, Massimiliano Linear pursuit differential game under phase constraint on the state of evader |
| title | Linear pursuit differential game under phase constraint on the state of evader |
| title_full | Linear pursuit differential game under phase constraint on the state of evader |
| title_fullStr | Linear pursuit differential game under phase constraint on the state of evader |
| title_full_unstemmed | Linear pursuit differential game under phase constraint on the state of evader |
| title_short | Linear pursuit differential game under phase constraint on the state of evader |
| title_sort | linear pursuit differential game under phase constraint on the state of evader |
| url | http://psasir.upm.edu.my/id/eprint/56537/1/56537.pdf |
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