Input-to-state stability for switched stochastic nonlinear systems with mode-dependent random impulses

被引：17

作者：

Ling, Guang ^{[1
]}

Liu, Xinzhi ^{[2
]}

Guan, Zhi-Hong ^{[3
]}

Ge, Ming-Feng ^{[4
]}

Tong, Yu-Han ^{[1
]}

机构：

[1] Wuhan Univ Technol, Sch Sci, Wuhan 430070, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[3] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China

[4] China Univ Geosci, Sch Mech Engn & Elect Informat, Wuhan 430074, Peoples R China

来源：

INFORMATION SCIENCES | 2022年 / 596卷

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Input-to-state stability; Integral input-to-state stability; Switched stochastic nonlinear systems; Time delays; Random impulses; GENETIC REGULATORY NETWORKS; COMPLEX DYNAMICAL NETWORKS; DELAYED SYSTEMS; NEURAL-NETWORKS; SYNCHRONIZATION; STABILIZATION; CRITERIA; SIGNALS;

D O I：

10.1016/j.ins.2022.03.034

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 the input-to-state stability (ISS) and integral input-to-state stability (iISS) of switched stochastic nonlinear systems with time delays and random impulses. Different from the existing researches on ISS and iISS, random impulses with both high intensity and density are taken into account. More practically, these impulses are of different stochastic characteristics with respect to different subsystems, and may also occur in coincidence with the subsystem switching instants. The upper bound of the time derivative operator of Lyapunov function is assumed to be time-varying and mode dependent, and some sufficient conditions for the ISS and iISS properties of this presented switched stochastic nonlinear systems are established by employing LyapunovRazumikhin technique and comparison principle. Finally, several numerical examples are adopted to verify the theoretical analysis.(c) 2022 Elsevier Inc. All rights reserved.

引用

页码：588 / 607

页数：20

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