Adaptive stabilization and control stochastic time-varying systems.
We introduce the concept of an adaptive control Lyapunov function for the notion of globally asymptotically stable in probability of stochastic time-varying systems and use the stochastic version of Florchinger’s control law established in Abedi et al. to design an adaptive controller. In this frame...
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25053/ http://psasir.upm.edu.my/id/eprint/25053/1/Adaptive%20stabilization%20and%20control%20stochastic%20time.pdf |
| _version_ | 1848845204991246336 |
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| author | Abedi, Fakhreddin Abu Hassan, Malik Suleiman, Mohamed |
| author_facet | Abedi, Fakhreddin Abu Hassan, Malik Suleiman, Mohamed |
| author_sort | Abedi, Fakhreddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We introduce the concept of an adaptive control Lyapunov function for the notion of globally asymptotically stable in probability of stochastic time-varying systems and use the stochastic version of Florchinger’s control law established in Abedi et al. to design an adaptive controller. In this framework the problem of adaptive stabilization of a nonlinear stochastic system is reduced to the problem of nonadaptive stabilization of a modified system. |
| first_indexed | 2025-11-15T08:43:06Z |
| format | Article |
| id | upm-25053 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:43:06Z |
| publishDate | 2011 |
| publisher | Hikari Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-250532015-10-05T04:47:40Z http://psasir.upm.edu.my/id/eprint/25053/ Adaptive stabilization and control stochastic time-varying systems. Abedi, Fakhreddin Abu Hassan, Malik Suleiman, Mohamed We introduce the concept of an adaptive control Lyapunov function for the notion of globally asymptotically stable in probability of stochastic time-varying systems and use the stochastic version of Florchinger’s control law established in Abedi et al. to design an adaptive controller. In this framework the problem of adaptive stabilization of a nonlinear stochastic system is reduced to the problem of nonadaptive stabilization of a modified system. Hikari Ltd 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25053/1/Adaptive%20stabilization%20and%20control%20stochastic%20time.pdf Abedi, Fakhreddin and Abu Hassan, Malik and Suleiman, Mohamed (2011) Adaptive stabilization and control stochastic time-varying systems. Applied Mathematical Sciences, 5 (23). pp. 1117-1130. ISSN 1312-885X http://www.m-hikari.com/ English |
| spellingShingle | Abedi, Fakhreddin Abu Hassan, Malik Suleiman, Mohamed Adaptive stabilization and control stochastic time-varying systems. |
| title | Adaptive stabilization and control stochastic time-varying systems. |
| title_full | Adaptive stabilization and control stochastic time-varying systems. |
| title_fullStr | Adaptive stabilization and control stochastic time-varying systems. |
| title_full_unstemmed | Adaptive stabilization and control stochastic time-varying systems. |
| title_short | Adaptive stabilization and control stochastic time-varying systems. |
| title_sort | adaptive stabilization and control stochastic time-varying systems. |
| url | http://psasir.upm.edu.my/id/eprint/25053/ http://psasir.upm.edu.my/id/eprint/25053/ http://psasir.upm.edu.my/id/eprint/25053/1/Adaptive%20stabilization%20and%20control%20stochastic%20time.pdf |