Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints
An evasion differential game of two pursuers and one evader in R2 is studied. Unlike the traditional integral constraints, in the present work, integral constraints are imposed on each component of control functions of the players. By definition, evasion is said to be possible if the state of a purs...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academic Publications
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56562/1/Evasion%20differential%20game%20of%20two%20pursuers%20and%20one%20evader%20with%20coordinate-wise%20integral%20constraints.pdf |
| _version_ | 1825931440254091264 |
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| author | Karapanan, Piriatharisini Ibragimov, Gafurjan Alias, Idham Arif |
| author_facet | Karapanan, Piriatharisini Ibragimov, Gafurjan Alias, Idham Arif |
| author_sort | Karapanan, Piriatharisini |
| collection | UPM |
| description | An evasion differential game of two pursuers and one evader in R2 is studied. Unlike the traditional integral constraints, in the present work, integral constraints are imposed on each component of control functions of the players. By definition, evasion is said to be possible if the state of a pursuer does not coincide with that of the evader for all t ≥ 0. Sufficient conditions of evasion are obtained and then strategies for the evader are constructed. |
| first_indexed | 2024-03-06T09:26:46Z |
| format | Article |
| id | upm.eprints-56562 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:26:46Z |
| publishDate | 2017 |
| publisher | Academic Publications |
| record_format | dspace |
| spelling | upm.eprints-565622017-08-03T04:04:27Z http://psasir.upm.edu.my/id/eprint/56562/ Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints Karapanan, Piriatharisini Ibragimov, Gafurjan Alias, Idham Arif An evasion differential game of two pursuers and one evader in R2 is studied. Unlike the traditional integral constraints, in the present work, integral constraints are imposed on each component of control functions of the players. By definition, evasion is said to be possible if the state of a pursuer does not coincide with that of the evader for all t ≥ 0. Sufficient conditions of evasion are obtained and then strategies for the evader are constructed. Academic Publications 2017 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56562/1/Evasion%20differential%20game%20of%20two%20pursuers%20and%20one%20evader%20with%20coordinate-wise%20integral%20constraints.pdf Karapanan, Piriatharisini and Ibragimov, Gafurjan and Alias, Idham Arif (2017) Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints. International Journal of Pure and Applied Mathematics, 114 (4). pp. 759-770. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2017-114-4/6/index.html |
| spellingShingle | Karapanan, Piriatharisini Ibragimov, Gafurjan Alias, Idham Arif Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints |
| title | Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints |
| title_full | Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints |
| title_fullStr | Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints |
| title_full_unstemmed | Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints |
| title_short | Evasion differential game of two pursuers and one evader with coordinate-wise integral constraints |
| title_sort | evasion differential game of two pursuers and one evader with coordinate wise integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/56562/1/Evasion%20differential%20game%20of%20two%20pursuers%20and%20one%20evader%20with%20coordinate-wise%20integral%20constraints.pdf |
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