On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls
We consider linear discrete control and pursuit game problems. Control vectors are subjected to total constraints, which are discrete analogues of the integral constraint. By definition, (i) the control system is 0-controllable on the whole if there is a control such that the state of the system z(t...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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Springer Singapore
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/41338/ http://psasir.upm.edu.my/id/eprint/41338/1/On%200-controllability%20and%20pursuit%20problems%20for%20linear%20discrete%20systems%20under%20total%20constraints%20on%20controls.pdf |
| _version_ | 1848849668938661888 |
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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 consider linear discrete control and pursuit game problems. Control vectors are subjected to total constraints, which are discrete analogues of the integral constraint. By definition, (i) the control system is 0-controllable on the whole if there is a control such that the state of the system z(t) = 0 at some step t, (ii) pursuit can be completed if there exists a strategy of the pursuer such that for any strategy of the evader the state of the system y(t) = 0. We obtained sufficient condition for equivalence of 0-controllability and completion of the game from any initial position of the space. |
| first_indexed | 2025-11-15T09:54:04Z |
| format | Conference or Workshop Item |
| id | upm-41338 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:54:04Z |
| publishDate | 2013 |
| publisher | Springer Singapore |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-413382017-08-24T08:30:23Z http://psasir.upm.edu.my/id/eprint/41338/ On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls Kuchkarov, Atamurat Ibragimov, Gafurjan Sotvoldiev, Akmal We consider linear discrete control and pursuit game problems. Control vectors are subjected to total constraints, which are discrete analogues of the integral constraint. By definition, (i) the control system is 0-controllable on the whole if there is a control such that the state of the system z(t) = 0 at some step t, (ii) pursuit can be completed if there exists a strategy of the pursuer such that for any strategy of the evader the state of the system y(t) = 0. We obtained sufficient condition for equivalence of 0-controllability and completion of the game from any initial position of the space. Springer Singapore 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/41338/1/On%200-controllability%20and%20pursuit%20problems%20for%20linear%20discrete%20systems%20under%20total%20constraints%20on%20controls.pdf Kuchkarov, Atamurat and Ibragimov, Gafurjan and Sotvoldiev, Akmal (2013) On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 31-36). 10.1007/978-981-4585-33-0_4 |
| spellingShingle | Kuchkarov, Atamurat Ibragimov, Gafurjan Sotvoldiev, Akmal On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls |
| title | On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls |
| title_full | On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls |
| title_fullStr | On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls |
| title_full_unstemmed | On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls |
| title_short | On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls |
| title_sort | on 0-controllability and pursuit problems for linear discrete systems under total constraints on controls |
| url | http://psasir.upm.edu.my/id/eprint/41338/ http://psasir.upm.edu.my/id/eprint/41338/ http://psasir.upm.edu.my/id/eprint/41338/1/On%200-controllability%20and%20pursuit%20problems%20for%20linear%20discrete%20systems%20under%20total%20constraints%20on%20controls.pdf |