Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization.
We extend the well-known Artstein-Sontag theorem by introducing the concept of control Lyapunov function for the notion of nonuniform in time global asymptotic stability in probability of stochastic differential system, when both the drift and diffusion terms are affine in the control. The main resu...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Springer Verlag
2011
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/25006/ http://psasir.upm.edu.my/id/eprint/25006/1/Lyapunov%20function%20for%20nonuniform%20in%20time%20global%20asymptotic%20stability%20in%20probability%20with%20application%20to%20feedback%20stabilization.pdf |
| _version_ | 1848845191450984448 |
|---|---|
| author | Abedi, Fakhreddin Abu Hassan, Malik Md. Arifin, Norihan |
| author_facet | Abedi, Fakhreddin Abu Hassan, Malik Md. Arifin, Norihan |
| author_sort | Abedi, Fakhreddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We extend the well-known Artstein-Sontag theorem by introducing the concept of control Lyapunov function for the notion of nonuniform in time global asymptotic stability in probability of stochastic differential system, when both the drift and diffusion terms are affine in the control. The main results of our work enable us to derive the necessary and sufficient conditions for feedback stabilization for affine in the control systems. |
| first_indexed | 2025-11-15T08:42:54Z |
| format | Article |
| id | upm-25006 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:54Z |
| publishDate | 2011 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-250062015-10-09T08:13:49Z http://psasir.upm.edu.my/id/eprint/25006/ Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. Abedi, Fakhreddin Abu Hassan, Malik Md. Arifin, Norihan We extend the well-known Artstein-Sontag theorem by introducing the concept of control Lyapunov function for the notion of nonuniform in time global asymptotic stability in probability of stochastic differential system, when both the drift and diffusion terms are affine in the control. The main results of our work enable us to derive the necessary and sufficient conditions for feedback stabilization for affine in the control systems. Springer Verlag 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25006/1/Lyapunov%20function%20for%20nonuniform%20in%20time%20global%20asymptotic%20stability%20in%20probability%20with%20application%20to%20feedback%20stabilization.pdf Abedi, Fakhreddin and Abu Hassan, Malik and Md. Arifin, Norihan (2011) Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. Acta Applicandae Mathematicae, 116 (1). pp. 107-117. ISSN 0167-8019; ESSN:1572-9036 http://link.springer.com/ 10.1007/s10440-011-9632-8 English |
| spellingShingle | Abedi, Fakhreddin Abu Hassan, Malik Md. Arifin, Norihan Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. |
| title | Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. |
| title_full | Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. |
| title_fullStr | Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. |
| title_full_unstemmed | Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. |
| title_short | Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. |
| title_sort | lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization. |
| url | http://psasir.upm.edu.my/id/eprint/25006/ http://psasir.upm.edu.my/id/eprint/25006/ http://psasir.upm.edu.my/id/eprint/25006/ http://psasir.upm.edu.my/id/eprint/25006/1/Lyapunov%20function%20for%20nonuniform%20in%20time%20global%20asymptotic%20stability%20in%20probability%20with%20application%20to%20feedback%20stabilization.pdf |