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