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

Jianwei Xia, Changyin Sun, Xiang Teng, Hongbin Zhang · International Journal of Systems Science · 2012

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.

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