Delay-segment-dependent robust stability for uncertain discrete stochastic Markovian jumping systems with interval time delay

Jianwei Xia, Changyin Sun, Xiang Teng and Hongbin Zhang

International Journal of Systems Science, 2014, vol. 45, issue 3, 271-282

Abstract: This article deals with the problem of robust stochastic stability for a class of uncertain discrete stochastic Markovian jumping systems with time-varying interval delay. By constructing a parameter-dependent Lyapunov–Krasovskii functional and checking its difference in two subintervals, respectively, some novel delay-segment-dependent stability criteria for the addressed system are derived. Two simulation examples are given to show effectiveness of the proposed method.

Date: 2014
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DOI: 10.1080/00207721.2012.720295

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