A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems

被引：255
|
作者：
Zeng, Hong-Bing [1 ,2 ]
Liu, Xiao-Gui [1 ]
Wang, Wei [1 ]
机构：
[1] Hunan Univ Technol, Dept Elect & Informat Engn, Zhuzhou 412007, Peoples R China
[2] Key Lab Elect Dr Control & Intelligent Equipment, Zhuzhou 412007, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 354卷
关键词：
Stability; Time-varying delay; Free-matrix-based integral inequality(FMBII); Linear matrix inequality; LINEAR-SYSTEMS; LURE SYSTEMS; CRITERIA; SYNCHRONIZATION; STABILIZATION;
D O I：
10.1016/j.amc.2019.02.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the delay-dependent stability problem of time-varying delay systems. A generalized free-matrix-based integral inequality (GFMBII) is presented. This inequality is able to deal with time-varying delay systems without using the reciprocal convexity lemma. It overcomes the drawback that the Bessel-Legendre inequality is inconvenient to cope with a time-varying delay system as the resultant bound contains a reciprocal convexity. Through the use of the derived inequality and by constructing a suitable Lyapunov-Krasovskii function (LKF), improved stability criteria are presented in the form of linear matrix inequalities (LMIs). Two numerical examples are carried out to demonstrate that the results outperform the state of the art in the literature. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：1 / 8
页数：8
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