Stability Analysis of Time-Delay Systems via a Delay-Derivative-Partitioning Approach

被引：6

作者：

Wang, Wei ^{[1
]}

Liu, Mi-Han ^{[1
]}

Zeng, Hong-Bing ^{[1
]}

Chen, Gang ^{[1
]}

机构：

[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China

来源：

IEEE ACCESS | 2022年 / 10卷

基金：

中国国家自然科学基金;

关键词：

Stability criteria; Delay effects; Time-varying systems; Symmetric matrices; Linear matrix inequalities; Integral equations; Lyapunov methods; Stability analysis; time-delay system; time-varying delay; Lyapunov functional; linear matrix inequality; INTEGRAL INEQUALITY APPLICATION; VARYING DELAY; DEPENDENT STABILITY; LINEAR-SYSTEMS; CRITERIA;

D O I：

10.1109/ACCESS.2022.3206959

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 is devoted to the study of delay-dependent stability of time-varying delay systems. A delay-derivative-partitioning approach is proposed. By constructing an augmented Lyapunov functional that contains two delay-product-dependent terms and using the delay-derivative-partitioning approach, an improved stability condition is established. The derived condition is described as a set of linear matrix inequalities, which can be readily implemented. Finally, four examples are carried out so as to attest the effect and merit of the presented approach.

引用

页码：99330 / 99336

页数：7

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