Exponential stability of time-delay systems via new weighted integral inequalities

被引：83
|
作者：
Le Van Hien [1 ,2 ]
Hieu Trinh [1 ]
机构：
[1] Deakin Univ, Sch Engn, Geelong, Vic 321, Australia
[2] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 275卷
关键词：
Exponential estimates; Time-delay systems; Weighted integral inequalities; Linear matrix inequalities; UNCERTAIN DYNAMIC-SYSTEMS; LINEAR-SYSTEMS; ROBUST STABILITY; VARYING DELAYS; CRITERION; STABILIZATION;
D O I：
10.1016/j.amc.2015.11.076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, new weighted integral inequalities (WIIs) are first derived based on Jensen's integral inequalities in single and double forms. It is theoretically shown that the newly derived inequalities in this paper encompass both the Jensen inequality and its most recent improvement based on Wirtinger's integral inequality. The potential capability of WII's is demonstrated through applications to exponential stability analysis of some classes of time-delay systems in the framework of linear matrix inequalities (LMIs.). The effectiveness and least conservativeness of the derived stability conditions using WIIs are shown by various numerical examples. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：335 / 344
页数：10
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