Simple motion evasion differential game of one pursuer and one evader
We study an evasion differential game of simple motion, involving one pursuer and one evader in the plane R². The control functions of players are subjected to geometric constraints. Maximum speed of the pursuer is equal to 1, and maximal speed of the evader is α>1 . Control set of the evader...
| Main Authors: | , , |
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| Format: | Book Section |
| Language: | English |
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Springer
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52820/ http://psasir.upm.edu.my/id/eprint/52820/1/Simple%20motion%20evasion%20differential%20game%20of%20one%20pursuer%20and%20one%20evader.pdf |
| _version_ | 1848852160777814016 |
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| author | Alias, Idham Arif Syed Mafdzot, Sharifah Anisah Ibragimov, Gafurjan |
| author2 | Kılıçman, Adem |
| author_facet | Kılıçman, Adem Alias, Idham Arif Syed Mafdzot, Sharifah Anisah Ibragimov, Gafurjan |
| author_sort | Alias, Idham Arif |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We study an evasion differential game of simple motion, involving one pursuer and one evader in the plane R². The control functions of players are subjected to geometric constraints. Maximum speed of the pursuer is equal to 1, and maximal speed of the evader is α>1 . Control set of the evader is a sector S whose radius is greater than 1. We say that evasion is possible if the state of the evader does not coincide with that of the pursuer at all times. The problem is to find the conditions of evasion. We obtained conditions that guarantee the evasion regardless of the location of initial position of players. |
| first_indexed | 2025-11-15T10:33:40Z |
| format | Book Section |
| id | upm-52820 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:33:40Z |
| publishDate | 2016 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-528202021-09-05T15:06:03Z http://psasir.upm.edu.my/id/eprint/52820/ Simple motion evasion differential game of one pursuer and one evader Alias, Idham Arif Syed Mafdzot, Sharifah Anisah Ibragimov, Gafurjan We study an evasion differential game of simple motion, involving one pursuer and one evader in the plane R². The control functions of players are subjected to geometric constraints. Maximum speed of the pursuer is equal to 1, and maximal speed of the evader is α>1 . Control set of the evader is a sector S whose radius is greater than 1. We say that evasion is possible if the state of the evader does not coincide with that of the pursuer at all times. The problem is to find the conditions of evasion. We obtained conditions that guarantee the evasion regardless of the location of initial position of players. Springer Kılıçman, Adem Srivastava, Hari M. Mursaleen, M. Abdul Majid, Zanariah 2016 Book Section PeerReviewed text en http://psasir.upm.edu.my/id/eprint/52820/1/Simple%20motion%20evasion%20differential%20game%20of%20one%20pursuer%20and%20one%20evader.pdf Alias, Idham Arif and Syed Mafdzot, Sharifah Anisah and Ibragimov, Gafurjan (2016) Simple motion evasion differential game of one pursuer and one evader. In: Recent Advances in Mathematical Sciences. Springer, Singapore, pp. 99-107. ISBN 9789811005176; EISBN: 9789811005190 https://link.springer.com/chapter/10.1007%2F978-981-10-0519-0_9 10.1007/978-981-10-0519-0_9 |
| spellingShingle | Alias, Idham Arif Syed Mafdzot, Sharifah Anisah Ibragimov, Gafurjan Simple motion evasion differential game of one pursuer and one evader |
| title | Simple motion evasion differential game of one pursuer and one evader |
| title_full | Simple motion evasion differential game of one pursuer and one evader |
| title_fullStr | Simple motion evasion differential game of one pursuer and one evader |
| title_full_unstemmed | Simple motion evasion differential game of one pursuer and one evader |
| title_short | Simple motion evasion differential game of one pursuer and one evader |
| title_sort | simple motion evasion differential game of one pursuer and one evader |
| url | http://psasir.upm.edu.my/id/eprint/52820/ http://psasir.upm.edu.my/id/eprint/52820/ http://psasir.upm.edu.my/id/eprint/52820/ http://psasir.upm.edu.my/id/eprint/52820/1/Simple%20motion%20evasion%20differential%20game%20of%20one%20pursuer%20and%20one%20evader.pdf |