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Delay-segment-dependent robust stability for uncertain discrete stochastic Markovian jumping systems with interval time delay
Authors:Jianwei Xia  Xiang Teng  Hongbin Zhang
Affiliation:1. School of Mathematics Science , Liaocheng University , Liaocheng 252000 , P.R. China;2. School of Automation , Southeast University , Jiangsu 210096 , China;3. School of Mathematics and Physics , Bohai University , Jinzhou 121003 , China;4. Center for Nonlinear and Complex Systems, School of Electronic Engineering , University of Electronic Science and Technology of China , Chengdu 611731 , P.R. China
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.
Keywords:stochastic Markovian jumping systems  interval time delay  robust stochastic stability  LMI
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