Improved delay-range-dependent stability criteria for linear systems with time-varying delays

被引：512
作者：
Sun, Jian [1 ,2 ]
Liu, G. P. [2 ,3 ]
Chen, Jie [1 ]
Rees, D. [2 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Harbin Inst Technol, CTGT Ctr, Harbin 150001, Peoples R China
来源：
AUTOMATICA | 2010年 / 46卷 / 02期
基金：
中国博士后科学基金;
关键词：
Time-varying delay; Lyapunov-Krasovskii functional; Delay-range-dependent stability; Linear matrix inequality (LMI); H-INFINITY CONTROL; UNCERTAIN NEUTRAL SYSTEMS; ROBUST STABILITY; DISCRETE;
D O I：
10.1016/j.automatica.2009.11.002
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 is concerned with the stability analysis of linear systems with time-varying delays in a given range. A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms. In the proposed Lyapunov functional, the information on the lower bound of the delay is fully exploited. Some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices. Numerical examples are given to illustrate the effectiveness of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：466 / 470
页数：5
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