Citation
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
Abstract
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.
Download File
Official URL or Download Paper: http://link.springer.com/
|
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1007/s10440-011-9632-8 |
| Publisher: | Springer Verlag |
| Keywords: | Stochastic differential system; Control Lyapunov function; Global asymptotic stability in probability. |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 05 Aug 2013 04:38 |
| Last Modified: | 09 Oct 2015 08:13 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s10440-011-9632-8 |
| URI: | http://psasir.upm.edu.my/id/eprint/25006 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |