On the approximation of the set of trajectories of control system described by a Volterra integral equation
In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. It is shown that the section...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2014-04-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13681 |
| _version_ | 1811329992915681280 |
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| author | Anar Huseyin |
| author_facet | Anar Huseyin |
| author_sort | Anar Huseyin |
| collection | DOAJ |
| description | In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. It is shown that the sections of the set of trajectories can be approximated by the sections of trajectories, generated by the mixed constrained and Lipschitz continuous control functions, the Lipschitz constant of which is bounded. |
| first_indexed | 2024-04-13T15:53:35Z |
| format | Article |
| id | doaj.art-ee86299a95d34b139b3d57615aea5db1 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T15:53:35Z |
| publishDate | 2014-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-ee86299a95d34b139b3d57615aea5db12022-12-22T02:40:46ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-04-0119210.15388/NA.2014.2.4On the approximation of the set of trajectories of control system described by a Volterra integral equationAnar Huseyin0Anadolu University, TurkeyIn this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. It is shown that the sections of the set of trajectories can be approximated by the sections of trajectories, generated by the mixed constrained and Lipschitz continuous control functions, the Lipschitz constant of which is bounded.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13681nonlinear Volterra integral equationcontrol systemintegral constraintset of trajectoriesapproximation |
| spellingShingle | Anar Huseyin On the approximation of the set of trajectories of control system described by a Volterra integral equation Nonlinear Analysis nonlinear Volterra integral equation control system integral constraint set of trajectories approximation |
| title | On the approximation of the set of trajectories of control system described by a Volterra integral equation |
| title_full | On the approximation of the set of trajectories of control system described by a Volterra integral equation |
| title_fullStr | On the approximation of the set of trajectories of control system described by a Volterra integral equation |
| title_full_unstemmed | On the approximation of the set of trajectories of control system described by a Volterra integral equation |
| title_short | On the approximation of the set of trajectories of control system described by a Volterra integral equation |
| title_sort | on the approximation of the set of trajectories of control system described by a volterra integral equation |
| topic | nonlinear Volterra integral equation control system integral constraint set of trajectories approximation |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13681 |
| work_keys_str_mv | AT anarhuseyin ontheapproximationofthesetoftrajectoriesofcontrolsystemdescribedbyavolterraintegralequation |