Shuping Ma 
Xinzhi Liu^{†} 
Chenghui Zhang 
School of Mathematics and System Science Shandong University Jinan, 250100 China mashup@sdu.edu.cn. 
Department of Applied Mathematics University of Waterloo Waterloo, Ontario Canada N2L 3G1 xzliu@uwaterloo.ca. 
School of Control and Engineering Shandong University Jinan, 250061 China. 

Received 9 December, 2006; revised 5 June, 2007

Abstract
This paper discusses robust stochastic stability and stabilization of timedelay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delaydependent linear matrix inequalities condition for timedelay discretetime 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 delaydependent linear matrix inequalities are obtained. A numerical example is also given to illustrate the effectiveness of this method.
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2000 Mathematics Subject Classification:
primary 39A12; secondary 93C55

(Metadata: XML, RSS, BibTeX) 
MathSciNet:
MR2378153 
Z'blattMATH:
1132.93349 
^{†}indicates author for correspondence 
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