Stability of Hybrid Impulsive and Switching Stochastic Systems with Time-delay

被引:0
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作者
Xuegang Tan
Bin Hu
Zhi-Hong Guan
Rui-Quan Liao
Jiang-Wen Xiao
Yuehua Huang
机构
[1] Huazhong University of Science and Technology,College of Automation
[2] Yangtze University,Petroleum Engineering College
[3] China Three Gorges University,Hubei Provincial Collaborative Innovation Center for New Energy Microgrid
关键词
Hybrid stochastic differential systems; impulsive and switching; stability; time delay;
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摘要
This paper investigates a model of hybrid impulsive and switching stochastic systems (HISSS) with time-delay. Several stability criteria, including the globally asymptotical and exponential stability criteria in the pth moment and mean square, are established by using Itô formula, a generalized switching Lyapunov functions and some relating techniques. Especially, a more general Lyapunov-Krasivskii functional is constructed, and it is observed that the mean square asymptotic and exponential stability conditions of HISSS are delay-dependent. A numerical example shows that the obtained stability results can reduce the conservativeness.
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页码:1532 / 1540
页数:8
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