Improved delay-dependent stability criteria for systems with nonlinear perturbations

被引：19
作者：
He, Yong
Liu, Guo-Ping
Rees, David
Wu, Min [1 ]
机构：
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Chinese Acad Sci, Inst Automat, CSIC Lab, Beijing 100864, Peoples R China
来源：
EUROPEAN JOURNAL OF CONTROL | 2007年 / 13卷 / 04期
关键词：
delay-dependent; time-varying interval delay; linear matrix inequality (LMI); nonlinear perturbations; H-INFINITY CONTROL; TIME-VARYING DELAY; LINEAR-SYSTEMS; ROBUST STABILITY; NEUTRAL SYSTEMS; STABILIZATION; STATE; BOUNDS;
D O I：
10.3166/EJC.13.356-365
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 studies the delay-dependent robust stability for time-delay systems with nonlinear perturbations. A new method is proposed to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms. Improved delay-dependent stability criteria are established by taking into account the range for the time-delay. In addition, augmented Lyapunov functionals are introduced to derive less conservative delay-dependent stability conditions. Finally, numerical examples are given to demonstrate the effectiveness and the merits of the proposed method.
引用
收藏
页码：356 / 365
页数：10
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