New robust delay-dependent stability and H∞ analysis for uncertain Markovian jump systems with time-varying delays |
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| Authors: | Xudong Zhao Qingshuang Zeng |
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| Institution: | Space Control and Inertial Technology Center, Harbin Institute of Technology, Harbin 150001, PR China |
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| Abstract: | This paper deals with the problems of robust delay-dependent stability and H∞ 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∞ performance. Numerical examples are provided to demonstrate efficiency and reduced conservatism of the results in this paper. |
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| Keywords: | Delay-dependent stability Markovian jump systems Time-varying delay H&infin performance Norm-bounded parameter uncertainties |
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