Delay‐dependent stability criterion and H∞ analysis for Markovian jump systems with time‐varying delays |
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| Authors: | Xudong Zhao Mingxiang Ling Qingshuang Zeng |
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| Affiliation: | Space Control and Inertial Technology Institute, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | This paper deals with the problems of stochastic stability and H∞ analysis for Markovian jump linear systems with time‐varying delays. In terms of linear matrix inequalities, a less conservative delay‐dependent stability criterion for Markovian jump systems is proposed by constructing a different Lyapunov‐Krasovskii functional and introducing improved integral‐equalities approach, and a sufficient condition is derived from the H∞ performance. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Stochastic stability Markovian jump systems time‐varying delay H∞ performance |
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