A new double integral inequality and application to stability test for time-delay systems

被引：59
作者：
Zhao, Nan [1 ]
Lin, Chong [1 ]
Chen, Bing [1 ]
Wang, Qing-Guo [2 ]
机构：
[1] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[2] Univ Johannesburg, Inst Intelligent Syst, Johannesburg, South Africa
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 65卷
基金：
中国国家自然科学基金;
关键词：
Time-delay system; Integral inequality; Stability analysis; Lyapunov-Krasovskii functional; VARYING DELAY; IMPROVEMENT;
D O I：
10.1016/j.aml.2016.09.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with stability analysis for linear systems with time delays. Firstly, a new double integral inequality is proposed. Then, it is used to derive a new delay-dependent stability criterion in terms of linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the effectiveness and merits of the present result. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：26 / 31
页数：6
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