A multiperson pursuit problem on a closed convex set in Hilbert space
A differential game of pursuit of an evader by a finite number of pursuers on a closed convex set in l 2 -space is studied. The game is described by simple differential equations and players’ controls obeyed the integral constraints. The game is deemed to be completed if exact contact of a pursuer w...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Pushpa Publishing House
2008
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/12734/ http://psasir.upm.edu.my/id/eprint/12734/1/A%20multiperson%20pursuit%20problem%20on%20a%20closed%20convex%20set%20in%20Hilbert%20space.pdf |
| _version_ | 1848841916102213632 |
|---|---|
| author | Leong, Wah June Ibragimov, Gafurjan |
| author_facet | Leong, Wah June Ibragimov, Gafurjan |
| author_sort | Leong, Wah June |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A differential game of pursuit of an evader by a finite number of pursuers on a closed convex set in l 2 -space is studied. The game is described by simple differential equations and players’ controls obeyed the integral constraints. The game is deemed to be completed if exact contact of a pursuer with the evader is occured. It is shown that even if the resources for controls of an individual pursuer is less than that of the evader, the completion of game is still possible. |
| first_indexed | 2025-11-15T07:50:50Z |
| format | Article |
| id | upm-12734 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:50:50Z |
| publishDate | 2008 |
| publisher | Pushpa Publishing House |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-127342015-10-05T08:03:51Z http://psasir.upm.edu.my/id/eprint/12734/ A multiperson pursuit problem on a closed convex set in Hilbert space Leong, Wah June Ibragimov, Gafurjan A differential game of pursuit of an evader by a finite number of pursuers on a closed convex set in l 2 -space is studied. The game is described by simple differential equations and players’ controls obeyed the integral constraints. The game is deemed to be completed if exact contact of a pursuer with the evader is occured. It is shown that even if the resources for controls of an individual pursuer is less than that of the evader, the completion of game is still possible. Pushpa Publishing House 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12734/1/A%20multiperson%20pursuit%20problem%20on%20a%20closed%20convex%20set%20in%20Hilbert%20space.pdf Leong, Wah June and Ibragimov, Gafurjan (2008) A multiperson pursuit problem on a closed convex set in Hilbert space. Far East Journal of Applied Mathematics, 33 (2). pp. 205-214. ISSN 0972-0960 http://www.pphmj.com/ |
| spellingShingle | Leong, Wah June Ibragimov, Gafurjan A multiperson pursuit problem on a closed convex set in Hilbert space |
| title | A multiperson pursuit problem on a closed convex set in Hilbert space |
| title_full | A multiperson pursuit problem on a closed convex set in Hilbert space |
| title_fullStr | A multiperson pursuit problem on a closed convex set in Hilbert space |
| title_full_unstemmed | A multiperson pursuit problem on a closed convex set in Hilbert space |
| title_short | A multiperson pursuit problem on a closed convex set in Hilbert space |
| title_sort | multiperson pursuit problem on a closed convex set in hilbert space |
| url | http://psasir.upm.edu.my/id/eprint/12734/ http://psasir.upm.edu.my/id/eprint/12734/ http://psasir.upm.edu.my/id/eprint/12734/1/A%20multiperson%20pursuit%20problem%20on%20a%20closed%20convex%20set%20in%20Hilbert%20space.pdf |