Improved stability criteria for linear systems with time-varying delay

被引：44
|
作者：
Sun, J. [1 ,2 ]
Liu, G. P. [2 ,3 ]
Chen, J. [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：
IET CONTROL THEORY AND APPLICATIONS | 2010年 / 4卷 / 04期
基金：
中国博士后科学基金; 美国国家科学基金会;
关键词：
H-INFINITY CONTROL; DEPENDENT ROBUST STABILITY; NEUTRAL SYSTEMS; STABILIZATION;
D O I：
10.1049/iet-cta.2008.0508
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 study is concerned with the stability analysis of systems with time-varying delay in a given interval. A new type of augmented Lyapunov functional which contains some triple-integral terms is proposed. By introducing free-weighting matrices, a new delay-range-dependent stability criterion is derived in terms of linear matrix inequality. The rate-range of the delay is considered, so the stability criterion is also delay-rate-range dependent. Numerical examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：683 / 689
页数：7
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