A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players.
In this paper, a simple motion pursuit differential game of several pursuers and one evader is studied in R 2. Control functions of all players are subjected to coordinate-wise integral constraints. We say that pursuit can be completed if the state of a pursuer coincides with that of the evader at s...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/27206/1/ID%2027206.pdf |
| _version_ | 1825947082480943104 |
|---|---|
| author | Alias, Idham Arif Ibragimov, Gafurjan I. Kuchkarov, Atamurat Sotvoldiyev, Akmal |
| author_facet | Alias, Idham Arif Ibragimov, Gafurjan I. Kuchkarov, Atamurat Sotvoldiyev, Akmal |
| author_sort | Alias, Idham Arif |
| collection | UPM |
| description | In this paper, a simple motion pursuit differential game of several pursuers and one evader is studied in R 2. Control functions of all players are subjected to coordinate-wise integral constraints. We say that pursuit can be completed if the state of a pursuer coincides with that of the evader at some time. We obtain sufficient conditions for completion of the differential game. The strategies of the pursuers are constructed based on the current values of control parameter of the evader. Also an illustrative example is provided. |
| first_indexed | 2024-03-06T08:07:46Z |
| format | Conference or Workshop Item |
| id | upm.eprints-27206 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:07:46Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | upm.eprints-272062014-10-28T07:26:27Z http://psasir.upm.edu.my/id/eprint/27206/ A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players. Alias, Idham Arif Ibragimov, Gafurjan I. Kuchkarov, Atamurat Sotvoldiyev, Akmal In this paper, a simple motion pursuit differential game of several pursuers and one evader is studied in R 2. Control functions of all players are subjected to coordinate-wise integral constraints. We say that pursuit can be completed if the state of a pursuer coincides with that of the evader at some time. We obtain sufficient conditions for completion of the differential game. The strategies of the pursuers are constructed based on the current values of control parameter of the evader. Also an illustrative example is provided. 2013-08-15 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27206/1/ID%2027206.pdf Alias, Idham Arif and Ibragimov, Gafurjan I. and Kuchkarov, Atamurat and Sotvoldiyev, Akmal (2013) A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players. In: International Seminar on Mathematics And Natural Science (ISMNS 2013), 15-17 Aug. 2013, Samarkand, Uzbekistan. . (Unpublished) English |
| spellingShingle | Alias, Idham Arif Ibragimov, Gafurjan I. Kuchkarov, Atamurat Sotvoldiyev, Akmal A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players. |
| title | A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players. |
| title_full | A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players. |
| title_fullStr | A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players. |
| title_full_unstemmed | A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players. |
| title_short | A pursuit differential game of many pursuers and one evader with coordinate-wise integral constraints on controls of players. |
| title_sort | pursuit differential game of many pursuers and one evader with coordinate wise integral constraints on controls of players |
| url | http://psasir.upm.edu.my/id/eprint/27206/1/ID%2027206.pdf |
| work_keys_str_mv | AT aliasidhamarif apursuitdifferentialgameofmanypursuersandoneevaderwithcoordinatewiseintegralconstraintsoncontrolsofplayers AT ibragimovgafurjani apursuitdifferentialgameofmanypursuersandoneevaderwithcoordinatewiseintegralconstraintsoncontrolsofplayers AT kuchkarovatamurat apursuitdifferentialgameofmanypursuersandoneevaderwithcoordinatewiseintegralconstraintsoncontrolsofplayers AT sotvoldiyevakmal apursuitdifferentialgameofmanypursuersandoneevaderwithcoordinatewiseintegralconstraintsoncontrolsofplayers AT aliasidhamarif pursuitdifferentialgameofmanypursuersandoneevaderwithcoordinatewiseintegralconstraintsoncontrolsofplayers AT ibragimovgafurjani pursuitdifferentialgameofmanypursuersandoneevaderwithcoordinatewiseintegralconstraintsoncontrolsofplayers AT kuchkarovatamurat pursuitdifferentialgameofmanypursuersandoneevaderwithcoordinatewiseintegralconstraintsoncontrolsofplayers AT sotvoldiyevakmal pursuitdifferentialgameofmanypursuersandoneevaderwithcoordinatewiseintegralconstraintsoncontrolsofplayers |