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Lyapunov function for nonuniform in time global asymptotic stability in probability with application to feedback stabilization.

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

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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.

Item Type:Article
Keyword:Stochastic differential system; Control Lyapunov function; Global asymptotic stability in probability.
Faculty or Institute:Faculty of Science
Publisher:Springer Verlag
DOI Number:10.1007/s10440-011-9632-8
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s10440-011-9632-8
ID Code:25006
Deposited By: Nur Farahin Ramli
Deposited On:05 Aug 2013 12:38
Last Modified:09 Oct 2015 16:13

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