An approach for solving discrete game problems with total constraints on controls
We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Controls of the players satisfy total constraints. Terminal set M is a subset of Rn and it is assumed to have nonempty interior. Game is said to be completed if y(k)...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36390/ http://psasir.upm.edu.my/id/eprint/36390/1/36390.pdf |
| _version_ | 1848848318940053504 |
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| author | Raxmonov, Asqar Ibragimov, Gafurjan I. |
| author_facet | Raxmonov, Asqar Ibragimov, Gafurjan I. |
| author_sort | Raxmonov, Asqar |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Controls of the players satisfy total constraints. Terminal set M is a subset of Rn and it is assumed to have nonempty interior. Game is said to be completed if y(k) - x(k) ∈ M at some step k. To construct the control of the pursuer, at each step i , we use positions of the players from step 1 to step and the value of the control parameter of the evader at the step i. We give sufficient conditions of completion of pursuit and construct the control for the pursuer in explicit form. This control forces the evader to expend some amount of his resources on a period consisting of finite steps. As a result, after several such periods the evader exhausted his energy and then pursuit will be completed. |
| first_indexed | 2025-11-15T09:32:36Z |
| format | Article |
| id | upm-36390 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:32:36Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-363902017-10-20T04:00:38Z http://psasir.upm.edu.my/id/eprint/36390/ An approach for solving discrete game problems with total constraints on controls Raxmonov, Asqar Ibragimov, Gafurjan I. We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Controls of the players satisfy total constraints. Terminal set M is a subset of Rn and it is assumed to have nonempty interior. Game is said to be completed if y(k) - x(k) ∈ M at some step k. To construct the control of the pursuer, at each step i , we use positions of the players from step 1 to step and the value of the control parameter of the evader at the step i. We give sufficient conditions of completion of pursuit and construct the control for the pursuer in explicit form. This control forces the evader to expend some amount of his resources on a period consisting of finite steps. As a result, after several such periods the evader exhausted his energy and then pursuit will be completed. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36390/1/36390.pdf Raxmonov, Asqar and Ibragimov, Gafurjan I. (2014) An approach for solving discrete game problems with total constraints on controls. Abstract and Applied Analysis, 2014. art. no. 674651. pp. 1-6. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2014/674651/abs/ 10.1155/2014/674651 |
| spellingShingle | Raxmonov, Asqar Ibragimov, Gafurjan I. An approach for solving discrete game problems with total constraints on controls |
| title | An approach for solving discrete game problems with total constraints on controls |
| title_full | An approach for solving discrete game problems with total constraints on controls |
| title_fullStr | An approach for solving discrete game problems with total constraints on controls |
| title_full_unstemmed | An approach for solving discrete game problems with total constraints on controls |
| title_short | An approach for solving discrete game problems with total constraints on controls |
| title_sort | approach for solving discrete game problems with total constraints on controls |
| url | http://psasir.upm.edu.my/id/eprint/36390/ http://psasir.upm.edu.my/id/eprint/36390/ http://psasir.upm.edu.my/id/eprint/36390/ http://psasir.upm.edu.my/id/eprint/36390/1/36390.pdf |