Evasion differential game of two evaders and one pursuer with integral constraints
A simple motion evasion differential game of two evaders and one pursuer was studied. Control functions of all players are subjected to integral constraints. We say that evasion is possible if the state of at least one of the evaders does not coincide with that of the pursuer. We proved that if the...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57265/ http://psasir.upm.edu.my/id/eprint/57265/1/Evasion%20differential%20game%20of%20two%20evaders%20and%20one%20pursuer%20with%20integral%20constraints.pdf |
| _version_ | 1848853317338267648 |
|---|---|
| author | Alias, Idham Arif Salleh, Yusra Azamov, Abdulla |
| author_facet | Alias, Idham Arif Salleh, Yusra Azamov, Abdulla |
| author_sort | Alias, Idham Arif |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A simple motion evasion differential game of two evaders and one pursuer was studied. Control functions of all players are subjected to integral constraints. We say that evasion is possible if the state of at least one of the evaders does not coincide with that of the pursuer. We proved that if the total energy of the evaders is greater than or equal to the energy of the pursuer, then evasion is possible. Though the game is considered in a plane, the results of the paper can be easily extended to ℝn. |
| first_indexed | 2025-11-15T10:52:03Z |
| format | Conference or Workshop Item |
| id | upm-57265 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:03Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-572652017-09-26T03:48:25Z http://psasir.upm.edu.my/id/eprint/57265/ Evasion differential game of two evaders and one pursuer with integral constraints Alias, Idham Arif Salleh, Yusra Azamov, Abdulla A simple motion evasion differential game of two evaders and one pursuer was studied. Control functions of all players are subjected to integral constraints. We say that evasion is possible if the state of at least one of the evaders does not coincide with that of the pursuer. We proved that if the total energy of the evaders is greater than or equal to the energy of the pursuer, then evasion is possible. Though the game is considered in a plane, the results of the paper can be easily extended to ℝn. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57265/1/Evasion%20differential%20game%20of%20two%20evaders%20and%20one%20pursuer%20with%20integral%20constraints.pdf Alias, Idham Arif and Salleh, Yusra and Azamov, Abdulla (2013) Evasion differential game of two evaders and one pursuer with integral constraints. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 140-145). 10.1063/1.4823892 |
| spellingShingle | Alias, Idham Arif Salleh, Yusra Azamov, Abdulla Evasion differential game of two evaders and one pursuer with integral constraints |
| title | Evasion differential game of two evaders and one pursuer with integral constraints |
| title_full | Evasion differential game of two evaders and one pursuer with integral constraints |
| title_fullStr | Evasion differential game of two evaders and one pursuer with integral constraints |
| title_full_unstemmed | Evasion differential game of two evaders and one pursuer with integral constraints |
| title_short | Evasion differential game of two evaders and one pursuer with integral constraints |
| title_sort | evasion differential game of two evaders and one pursuer with integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/57265/ http://psasir.upm.edu.my/id/eprint/57265/ http://psasir.upm.edu.my/id/eprint/57265/1/Evasion%20differential%20game%20of%20two%20evaders%20and%20one%20pursuer%20with%20integral%20constraints.pdf |