An improved stability criterion for linear time-varying delay systems

被引：6

作者：

Feng, Wenxi ^{[1
]}

Luo, Fei ^{[1
]}

Duan, Wenyong ^{[2
]}

Li, Yan ^{[3
]}

Chen, Jian ^{[2
]}

机构：

[1] South China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China

[2] Yancheng Inst Technol, Sch Elect Engn, Yancheng 224051, Jiangsu, Peoples R China

[3] Yancheng Biol Engn Higher Vocat Technol Sch, Undergrad Off, Yancheng 224051, Jiangsu, Peoples R China

来源：

AUTOMATIKA | 2020年 / 61卷 / 02期

关键词：

Delay-dependent stability; Lyapunov-Krasovskii functional; linear matrix inequalities; time-delayed system; time-varying delay; INEQUALITY; MATRIX;

D O I：

10.1080/00051144.2019.1706885

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 considers the stability problem of linear systems with time-varying delays. A modified Lyapunov-Krasovskii functional (LKF) is constructed, which consists of delay-dependent matrices and double integral items under two time-varying subintervals. Based on the modified LKF, a less conservative stability criterion than some previous ones is derived. Furthermore, to obtain a tighter bound of the integral terms, the quadratic generalized free-weighting matrix inequality (QGFMI) is fully applied to different delay subintervals, which further reduces the conservatism of the stability criterion. Finally, three numerical examples are presented to show the effectiveness of the proposed approach.

引用

页码：229 / 237

页数：9

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