An evasion differential game described by an infinite system of 2-systems of second order.
We study a differential game of many pursuers described by infinite systems of second order ordinary differential equations. Controls of players are subjected to geometric constraints. Differential game is considered in Hilbert spaces. We say that evasion is possible if ||zi(t)||r+1 + ||z˙i(t)||r 6...
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| Format: | Article |
| Language: | English English |
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Academic Publications
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24907/1/An%20evasion%20differential%20game%20described%20by%20an%20infinite%20system%20of%202.pdf |
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| author | Ibragimov, Gafurjan I. Allahabi, Fateh |
| author_facet | Ibragimov, Gafurjan I. Allahabi, Fateh |
| author_sort | Ibragimov, Gafurjan I. |
| collection | UPM |
| description | We study a differential game of many pursuers described by infinite systems of second order ordinary differential equations. Controls of players are subjected to geometric constraints. Differential game is considered in Hilbert
spaces. We say that evasion is possible if ||zi(t)||r+1 + ||z˙i(t)||r 6= 0 for all i = 1, ...,m, and t > 0; m is the number of pursuers. We proved one theorem on evasion. Moreover, we constructed explicitly a control of the evader. |
| first_indexed | 2024-03-06T08:01:15Z |
| format | Article |
| id | upm.eprints-24907 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:01:15Z |
| publishDate | 2011 |
| publisher | Academic Publications |
| record_format | dspace |
| spelling | upm.eprints-249072015-09-23T07:52:37Z http://psasir.upm.edu.my/id/eprint/24907/ An evasion differential game described by an infinite system of 2-systems of second order. Ibragimov, Gafurjan I. Allahabi, Fateh We study a differential game of many pursuers described by infinite systems of second order ordinary differential equations. Controls of players are subjected to geometric constraints. Differential game is considered in Hilbert spaces. We say that evasion is possible if ||zi(t)||r+1 + ||z˙i(t)||r 6= 0 for all i = 1, ...,m, and t > 0; m is the number of pursuers. We proved one theorem on evasion. Moreover, we constructed explicitly a control of the evader. Academic Publications 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24907/1/An%20evasion%20differential%20game%20described%20by%20an%20infinite%20system%20of%202.pdf Ibragimov, Gafurjan I. and Allahabi, Fateh (2011) An evasion differential game described by an infinite system of 2-systems of second order. International Journal of Pure and Applied Mathematics, 70 (4). pp. 491-501. ISSN 1311-8080 http://www.acadpubl.eu/ English |
| spellingShingle | Ibragimov, Gafurjan I. Allahabi, Fateh An evasion differential game described by an infinite system of 2-systems of second order. |
| title | An evasion differential game described by an infinite system of 2-systems of second order. |
| title_full | An evasion differential game described by an infinite system of 2-systems of second order. |
| title_fullStr | An evasion differential game described by an infinite system of 2-systems of second order. |
| title_full_unstemmed | An evasion differential game described by an infinite system of 2-systems of second order. |
| title_short | An evasion differential game described by an infinite system of 2-systems of second order. |
| title_sort | evasion differential game described by an infinite system of 2 systems of second order |
| url | http://psasir.upm.edu.my/id/eprint/24907/1/An%20evasion%20differential%20game%20described%20by%20an%20infinite%20system%20of%202.pdf |
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