Xu-Dong Zhao and Qing-Shuang Zeng. Delay-dependent Stability Analysis for Markovian Jump Systems with Interval Time-varying-delays. International Journal of Automation and Computing, vol. 7, no. 2, pp. 224-229, 2010. DOI: 10.1007/s11633-010-0224-2
Citation: Xu-Dong Zhao and Qing-Shuang Zeng. Delay-dependent Stability Analysis for Markovian Jump Systems with Interval Time-varying-delays. International Journal of Automation and Computing, vol. 7, no. 2, pp. 224-229, 2010. DOI: 10.1007/s11633-010-0224-2

Delay-dependent Stability Analysis for Markovian Jump Systems with Interval Time-varying-delays

  • This paper proposes improved stochastic stability conditions for Markovian jump systems with interval time-varying delays. In terms of linear matrix inequalities (LMIs), less conservative delay-range-dependent stability conditions for Markovian jump systems are proposed by constructing a different Lyapunov-Krasovskii function. The resulting criteria have advantages over some previous ones in that they involve fewer matrix variables but have less conservatism. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper.
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