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New robust delay-dependent stability and $$H_{\infty}$$ analysis for uncertain Markovian jump systems with time-varying delays. (English) Zbl 1286.93199
Summary: This paper deals with the problems of robust delay-dependent stability and $$H_{\infty}$$ analysis for Markovian jump linear systems with norm-bounded parameter uncertainties and time-varying delays. In terms of linear matrix inequalities, an improved delay-range-dependent stability condition for Markovian jump systems is proposed by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay, and a sufficient condition is derived from the $$H_{\infty}$$ performance. Numerical examples are provided to demonstrate efficiency and reduced conservatism of the results in this paper.

##### MSC:
 93E15 Stochastic stability in control theory 93D09 Robust stability 60J75 Jump processes (MSC2010) 93B36 $$H^\infty$$-control
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##### References:
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