Stability analysis of time-varying neutral-type stochastic systems with both discrete and distributed delays

被引：1

作者：

Zhang, Qianqian ^{[1
]}

Li, Zhao-Yan ^{[1
]}

Wang, Yibo ^{[2
]}

机构：

[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

[2] China Acad Space Technol, Inst Telecommun Satellite, Beijing 100094, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2023年 / 181卷

基金：

中国国家自然科学基金;

关键词：

Time-varying neutral-type stochastic systems; Uniform stability; Lyapunov function; Indefinite time-derivative; Explicit criteria; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EXPONENTIAL STABILITY;

D O I：

10.1016/j.sysconle.2023.105643

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The uniform stability analysis of time-varying neutral-type stochastic systems with both discrete and distributed delays is investigated in this paper. By the method based on Lyapunov function and some inequality techniques, novel stability criteria are obtained to ensure the uniform stability and uniform exponential stability in mean square of the studied system, respectively. The established results are characterized by the fact that the time derivatives of the constructed Lyapunov function are permissible for sign indefinite. Furthermore, by selecting a specific Lyapunov function, novel explicit stability criteria are given, which is less conservative than the exist results. At last two examples are provided to illustrate the effectiveness and superiority of the proposed theoretical results.

引用

页数：8

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