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Delay-dependent stability and stabilization of uncertain discrete-time markovian jump singular systems with time delay

Published online by Cambridge University Press:  17 February 2009

Shuping Ma ,
Xinzhi Liu  and
Chenghui Zhang
Shuping Ma
Affiliation:
School of Mathematics and System Science Shandong UniversityJinan 250100 [email protected]. School of Computer Science and Technology Shandong UniversityJinan China
Xinzhi Liu
Affiliation:
School of Control and Engineering Shandong UniversityJinan 250061 China Department of Applied Mathematics University of WaterlooWaterloo Ontario Canada N2L [email protected].
Chenghui Zhang
Affiliation:
School of Control and Engineering Shandong UniversityJinan 250061 China
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This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and stochastically stable is established. With this condition, problems of robust stochastic stability and stabilization are solved, and delay-dependent linear matrix inequalities are obtained. A numerical example is also given to illustrate the effectiveness of this method.2000Mathematics subject classification: primary 39A12; secondary 93C55.

Keywords

discrete Markovian jump singular systemtime-delay systemdelaydependentlinear matrix inequality (LMI)robust stochastic stability and stabilization.
Type
Research Article
Information
The ANZIAM Journal , Volume 49 , Issue 1 , July 2007 , pp. 111 - 129
Copyright
Copyright © Australian Mathematical Society 2007

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