Less conservative delay-dependent stability criteria for linear systems with interval time-varying delays

被引：41
|
作者：
Shao, Hanyong [1 ,2 ]
Han, Qing-Long [2 ,3 ]
机构：
[1] Qufu Normal Univ, Sch Elect & Informat Automat, Rizhao 276826, Shandong, Peoples R China
[2] Cent Queensland Univ, Ctr Intelligent & Networked Syst, Rockhampton, Qld 4702, Australia
[3] Cent Queensland Univ, Sch Informat & Commun Technol, Rockhampton, Qld 4702, Australia
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2012年 / 43卷 / 05期
基金：
中国国家自然科学基金; 澳大利亚研究理事会;
关键词：
interval time-varying delay; stability; Lyapunov-Krasovskii functional; linear matrix inequality; LMI; H-INFINITY CONTROL; ROBUST STABILITY;
D O I：
10.1080/00207721.2010.543480
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 article provides new delay-dependent stability criteria for linear systems with interval time-varying delays. With a new Lyapunov-Krasovskii functional constructed, a tighter upper bound of its derivative is estimated. The resulting criterion has an advantage over some existing ones in the literature due to the fact that it involves fewer matrix variables and is less conservative, which is established theoretically. Two numerical examples are given to demonstrate the reduced conservatism of the proposed results.
引用
收藏
页码：894 / 902
页数：9
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