Stability analysis for neutral Markovian jump systems with partially unknown transition probabilities

This paper addresses the problem of the delay-dependent stability for neutral Markovian jump systems with partial information on transition probability. The time delays discussed in this paper are time-varying delays. Combined the new constructed Lyapunov functional with the introduced free matrices...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2012-08, Vol.349 (6), p.2193-2214
Main Authors: Xiong, Lianglin, Tian, Junkang, Liu, Xinzhi
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Delay
Exact sciences and technology
System theory
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Summary:This paper addresses the problem of the delay-dependent stability for neutral Markovian jump systems with partial information on transition probability. The time delays discussed in this paper are time-varying delays. Combined the new constructed Lyapunov functional with the introduced free matrices, and using the analysis technique of matrix inequalities, the delay-dependent stability conditions are obtained. The obtained results are formulated in terms of LMIs, which can be easily checked in practice by Matlab LMI control toolbox. Three numerical examples are given to show the validity and potential of the developed criteria. ► We concern the neutral MJS with partially unknown transition probabilities. ► The new method makes full use of the information of transition probabilities. ► The conditions are easily computed and less conservative based on LMIs.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2012.04.003