Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints
A pursuit differential game of two pursuers and one evader in ℝ2 is studied. All players' controls are subjected to coordinate-wise integral constraints. By definition, pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The problem is to find conditio...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/51902/1/Pursuit%20differential%20game%20of%20two%20pursuers%20and%20one%20evader%20in%20%E2%84%9D2%20with%20coordinate-wise%20integral%20constraints.pdf |
| _version_ | 1825930620070526976 |
|---|---|
| author | Ibragimov, Gafurjan Karapanan, Piriatharisini Alias, Idham Arif |
| author_facet | Ibragimov, Gafurjan Karapanan, Piriatharisini Alias, Idham Arif |
| author_sort | Ibragimov, Gafurjan |
| collection | UPM |
| description | A pursuit differential game of two pursuers and one evader in ℝ2 is studied. All players' controls are subjected to coordinate-wise integral constraints. By definition, pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The problem is to find conditions of completion of pursuit. We show that if the energy vector of the evader belongs to a polygon, then pursuit can be completed. |
| first_indexed | 2024-03-06T09:14:19Z |
| format | Conference or Workshop Item |
| id | upm.eprints-51902 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:19Z |
| publishDate | 2015 |
| publisher | IEEE |
| record_format | dspace |
| spelling | upm.eprints-519022017-05-03T04:13:32Z http://psasir.upm.edu.my/id/eprint/51902/ Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints Ibragimov, Gafurjan Karapanan, Piriatharisini Alias, Idham Arif A pursuit differential game of two pursuers and one evader in ℝ2 is studied. All players' controls are subjected to coordinate-wise integral constraints. By definition, pursuit is completed if the state of a pursuer coincides with that of the evader at some time. The problem is to find conditions of completion of pursuit. We show that if the energy vector of the evader belongs to a polygon, then pursuit can be completed. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51902/1/Pursuit%20differential%20game%20of%20two%20pursuers%20and%20one%20evader%20in%20%E2%84%9D2%20with%20coordinate-wise%20integral%20constraints.pdf Ibragimov, Gafurjan and Karapanan, Piriatharisini and Alias, Idham Arif (2015) Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 223-226). http://ieeexplore.ieee.org/document/7357058/ 10.1109/ICREM.2015.7357058 |
| spellingShingle | Ibragimov, Gafurjan Karapanan, Piriatharisini Alias, Idham Arif Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints |
| title | Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints |
| title_full | Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints |
| title_fullStr | Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints |
| title_full_unstemmed | Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints |
| title_short | Pursuit differential game of two pursuers and one evader in ℝ2 with coordinate-wise integral constraints |
| title_sort | pursuit differential game of two pursuers and one evader in r2 with coordinate wise integral constraints |
| url | http://psasir.upm.edu.my/id/eprint/51902/1/Pursuit%20differential%20game%20of%20two%20pursuers%20and%20one%20evader%20in%20%E2%84%9D2%20with%20coordinate-wise%20integral%20constraints.pdf |
| work_keys_str_mv | AT ibragimovgafurjan pursuitdifferentialgameoftwopursuersandoneevaderinr2withcoordinatewiseintegralconstraints AT karapananpiriatharisini pursuitdifferentialgameoftwopursuersandoneevaderinr2withcoordinatewiseintegralconstraints AT aliasidhamarif pursuitdifferentialgameoftwopursuersandoneevaderinr2withcoordinatewiseintegralconstraints |