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

被引：6

作者：

Tan, Xuegang ^{[1
]}

Hu, Bin ^{[1
]}

Guan, Zhi-Hong ^{[1
]}

Liao, Rui-Quan ^{[2
]}

Xiao, Jiang-Wen ^{[1
]}

Huang, Yuehua ^{[3
]}

机构：

[1] Huazhong Univ Sci & Technol, Coll Automat, Wuhan 430074, Hubei, Peoples R China

[2] Yangtze Univ, Petr Engn Coll, Jingzhou 420400, Peoples R China

[3] China Three Gorges Univ, Hubei Prov Collaborat Innovat Ctr New Energy Micr, Yichang 443002, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2018年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Hybrid stochastic differential systems; impulsive and switching; stability; time delay; EXPONENTIAL P-STABILITY; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NONLINEAR-SYSTEMS; NEURAL-NETWORKS; VARYING DELAYS; STABILIZATION; CRITERIA;

D O I：

10.1007/s12555-017-0354-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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 It 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.

引用

页码：1532 / 1540

页数：9

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