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
收藏
页码：1532 / 1540
页数：9
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