Linear Discrete Pursuit Game Problem with Total Constraints
We study a linear discrete pursuit game problem of one pursuer and one evader. Control vectors of the players are subjected to total constraints which are discrete analogs of the integral constraints. By definition pursuit can be completed in the game if there exists a strategy of the pursuer such t...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/840925 |
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| author | Atamurat Kuchkarov Gafurjan Ibragimov Akmal Sotvoldiev |
| author_facet | Atamurat Kuchkarov Gafurjan Ibragimov Akmal Sotvoldiev |
| author_sort | Atamurat Kuchkarov |
| collection | DOAJ |
| description | We study a linear discrete pursuit game problem of one pursuer and one evader. Control vectors of the players are subjected to total constraints which are discrete analogs of the integral constraints. By definition pursuit can be completed in the game if there exists a strategy of the pursuer such that for any control of the evader the state of system reaches the origin at some time. We obtain sufficient conditions of completion of the game from any initial position of the state space. Strategy of the pursuer is defined as a function of the current state of system and value of control parameter of the evader. |
| format | Article |
| id | doaj-art-7bd6382648464edd8d1127e4e1975a9f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7bd6382648464edd8d1127e4e1975a9f2025-02-03T06:48:07ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/840925840925Linear Discrete Pursuit Game Problem with Total ConstraintsAtamurat Kuchkarov0Gafurjan Ibragimov1Akmal Sotvoldiev2Institute of Mathematics of Uzbekistan, 29 Dorman yuli Street, 100125 Tashkent, UzbekistanInstitute for Mathematical Research and Department of Mathematics, Faculty of Science (FS), Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaInstitute of Mathematics of Uzbekistan, 29 Dorman yuli Street, 100125 Tashkent, UzbekistanWe study a linear discrete pursuit game problem of one pursuer and one evader. Control vectors of the players are subjected to total constraints which are discrete analogs of the integral constraints. By definition pursuit can be completed in the game if there exists a strategy of the pursuer such that for any control of the evader the state of system reaches the origin at some time. We obtain sufficient conditions of completion of the game from any initial position of the state space. Strategy of the pursuer is defined as a function of the current state of system and value of control parameter of the evader.http://dx.doi.org/10.1155/2013/840925 |
| spellingShingle | Atamurat Kuchkarov Gafurjan Ibragimov Akmal Sotvoldiev Linear Discrete Pursuit Game Problem with Total Constraints Abstract and Applied Analysis |
| title | Linear Discrete Pursuit Game Problem with Total Constraints |
| title_full | Linear Discrete Pursuit Game Problem with Total Constraints |
| title_fullStr | Linear Discrete Pursuit Game Problem with Total Constraints |
| title_full_unstemmed | Linear Discrete Pursuit Game Problem with Total Constraints |
| title_short | Linear Discrete Pursuit Game Problem with Total Constraints |
| title_sort | linear discrete pursuit game problem with total constraints |
| url | http://dx.doi.org/10.1155/2013/840925 |
| work_keys_str_mv | AT atamuratkuchkarov lineardiscretepursuitgameproblemwithtotalconstraints AT gafurjanibragimov lineardiscretepursuitgameproblemwithtotalconstraints AT akmalsotvoldiev lineardiscretepursuitgameproblemwithtotalconstraints |