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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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30065/ http://psasir.upm.edu.my/id/eprint/30065/1/30065.pdf |
| _version_ | 1848846572826132480 |
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| author | Kuchkarov, Atamurat Ibragimov, Gafurjan Sotvoldiev, Akmal |
| author_facet | Kuchkarov, Atamurat Ibragimov, Gafurjan Sotvoldiev, Akmal |
| author_sort | Kuchkarov, Atamurat |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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 z(t) 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. |
| first_indexed | 2025-11-15T09:04:51Z |
| format | Article |
| id | upm-30065 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:04:51Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-300652017-10-19T09:38:55Z http://psasir.upm.edu.my/id/eprint/30065/ Linear discrete pursuit game problem with total constraints Kuchkarov, Atamurat Ibragimov, Gafurjan Sotvoldiev, Akmal 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 z(t) 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30065/1/30065.pdf Kuchkarov, Atamurat and Ibragimov, Gafurjan and Sotvoldiev, Akmal (2013) Linear discrete pursuit game problem with total constraints. Abstract and Applied Analysis, 2013. art. no. 840925. pp. 1-5. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2013/840925/ 10.1155/2013/840925 |
| spellingShingle | Kuchkarov, Atamurat Ibragimov, Gafurjan Sotvoldiev, Akmal Linear discrete pursuit game problem with total constraints |
| 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://psasir.upm.edu.my/id/eprint/30065/ http://psasir.upm.edu.my/id/eprint/30065/ http://psasir.upm.edu.my/id/eprint/30065/ http://psasir.upm.edu.my/id/eprint/30065/1/30065.pdf |