Evasion differential game with many pursuers versus one evader whose control set is a sector
We study a simple motion evasion differential game of many pursuers x 1 , . . . , x m and one evader y in the plane. Maximum speeds of pursuers are equal to 1, and the control set of the evader is a sector S of radius greater than 1. We say that evasion is possible if x i (t) 6= y(t) for all t ¾ 0 a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Science Society of Thailand
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/61801/1/Evasion%20differential%20game%20with%20many%20pursuers%20versus%20one%20evader%20whose%20control%20set%20is%20a%20sector.pdf |
| _version_ | 1796977520243900416 |
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| author | Ibragimov, Gafurjan Alias, Idham Arif Syed Mafdzot, Sharifah Anisah |
| author_facet | Ibragimov, Gafurjan Alias, Idham Arif Syed Mafdzot, Sharifah Anisah |
| author_sort | Ibragimov, Gafurjan |
| collection | UPM |
| description | We study a simple motion evasion differential game of many pursuers x 1 , . . . , x m and one evader y in the plane. Maximum speeds of pursuers are equal to 1, and the control set of the evader is a sector S of radius greater than 1. We say that evasion is possible if x i (t) 6= y(t) for all t ¾ 0 and i = 1, . . . , m. We obtain conditions that guarantee the evasion from any initial positions of the pursuers and evader. |
| first_indexed | 2024-03-06T09:41:19Z |
| format | Article |
| id | upm.eprints-61801 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:41:19Z |
| publishDate | 2017 |
| publisher | Science Society of Thailand |
| record_format | dspace |
| spelling | upm.eprints-618012019-01-28T03:34:35Z http://psasir.upm.edu.my/id/eprint/61801/ Evasion differential game with many pursuers versus one evader whose control set is a sector Ibragimov, Gafurjan Alias, Idham Arif Syed Mafdzot, Sharifah Anisah We study a simple motion evasion differential game of many pursuers x 1 , . . . , x m and one evader y in the plane. Maximum speeds of pursuers are equal to 1, and the control set of the evader is a sector S of radius greater than 1. We say that evasion is possible if x i (t) 6= y(t) for all t ¾ 0 and i = 1, . . . , m. We obtain conditions that guarantee the evasion from any initial positions of the pursuers and evader. Science Society of Thailand 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/61801/1/Evasion%20differential%20game%20with%20many%20pursuers%20versus%20one%20evader%20whose%20control%20set%20is%20a%20sector.pdf Ibragimov, Gafurjan and Alias, Idham Arif and Syed Mafdzot, Sharifah Anisah (2017) Evasion differential game with many pursuers versus one evader whose control set is a sector. ScienceAsia, 43. 115 - 122. ISSN 1513-1874 http://www.scienceasia.org/content/viewabstract.php?ms=6861 10.2306/scienceasia1513-1874.2017.43.115 |
| spellingShingle | Ibragimov, Gafurjan Alias, Idham Arif Syed Mafdzot, Sharifah Anisah Evasion differential game with many pursuers versus one evader whose control set is a sector |
| title | Evasion differential game with many pursuers versus one evader whose control set is a sector |
| title_full | Evasion differential game with many pursuers versus one evader whose control set is a sector |
| title_fullStr | Evasion differential game with many pursuers versus one evader whose control set is a sector |
| title_full_unstemmed | Evasion differential game with many pursuers versus one evader whose control set is a sector |
| title_short | Evasion differential game with many pursuers versus one evader whose control set is a sector |
| title_sort | evasion differential game with many pursuers versus one evader whose control set is a sector |
| url | http://psasir.upm.edu.my/id/eprint/61801/1/Evasion%20differential%20game%20with%20many%20pursuers%20versus%20one%20evader%20whose%20control%20set%20is%20a%20sector.pdf |
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