Solution of a linear pursuit-evasion differential game with closed and convex terminal set.
A linear two-person zero-sum pursuit-evasion differential game is considered. Control functions of players are subject to integral constraints. Terminal set is a closed convex subset of The Pursuer tries to bring the state of the system to the terminal set and the Evader prevents bringing of the st...
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Institut Teknologi Bandung
2012
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my.upm.eprints.250742015-09-22T06:38:06Z http://psasir.upm.edu.my/id/eprint/25074/ Solution of a linear pursuit-evasion differential game with closed and convex terminal set. Ibragimov, Gafurjan I. Khakestari, Marzieh Kuchkarov, Atamurat A linear two-person zero-sum pursuit-evasion differential game is considered. Control functions of players are subject to integral constraints. Terminal set is a closed convex subset of The Pursuer tries to bring the state of the system to the terminal set and the Evader prevents bringing of the state to the terminal set where control resource of the Pursuer is greater than that of Evader. We obtain a formula for the optimal pursuit time and construct optimal strategies of the players in explicit form. Institut Teknologi Bandung 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25074/1/Solution%20of%20a%20linear%20pursuit.pdf Ibragimov, Gafurjan I. and Khakestari, Marzieh and Kuchkarov, Atamurat (2012) Solution of a linear pursuit-evasion differential game with closed and convex terminal set. ITB Journal of Science, 44A (1). pp. 1-12. ISSN 1978-3043 http://www.itb.ac.id/ 10.5614/itbj.sci.2012.44.1.1 English |
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| description |
A linear two-person zero-sum pursuit-evasion differential game is considered. Control functions of players are subject to integral constraints. Terminal set is a closed convex subset of The Pursuer tries to bring the state of the system to the terminal set and the Evader prevents bringing of the state to the terminal set where control resource of the Pursuer is greater than that of Evader. We obtain a formula for the optimal pursuit time and construct optimal strategies of the players in explicit form. |
| format |
Article |
| author |
Ibragimov, Gafurjan I. Khakestari, Marzieh Kuchkarov, Atamurat |
| spellingShingle |
Ibragimov, Gafurjan I. Khakestari, Marzieh Kuchkarov, Atamurat Solution of a linear pursuit-evasion differential game with closed and convex terminal set. |
| author_facet |
Ibragimov, Gafurjan I. Khakestari, Marzieh Kuchkarov, Atamurat |
| author_sort |
Ibragimov, Gafurjan I. |
| title |
Solution of a linear pursuit-evasion differential game with closed and convex terminal set. |
| title_short |
Solution of a linear pursuit-evasion differential game with closed and convex terminal set. |
| title_full |
Solution of a linear pursuit-evasion differential game with closed and convex terminal set. |
| title_fullStr |
Solution of a linear pursuit-evasion differential game with closed and convex terminal set. |
| title_full_unstemmed |
Solution of a linear pursuit-evasion differential game with closed and convex terminal set. |
| title_sort |
solution of a linear pursuit-evasion differential game with closed and convex terminal set. |
| publisher |
Institut Teknologi Bandung |
| publishDate |
2012 |
| url |
http://psasir.upm.edu.my/id/eprint/25074/1/Solution%20of%20a%20linear%20pursuit.pdf http://psasir.upm.edu.my/id/eprint/25074/ http://www.itb.ac.id/ |
| _version_ |
1643828551315619840 |
| score |
13.251813 |