Robust global exponential stability of linear impulsive systems with time-varying delay and uncertainty

被引：2

作者：

Liu, Bin ^{[1
]}

Liu, Xinzhi

机构：

[1] Zhuzhou Inst Technol, Dept Informat & Comp Sci, Zhuzhou 412008, Peoples R China

[2] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[3] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2006年 / 36卷 / 02期

关键词：

uncertainty; linear impulsive system; interval matrix; time-delay; robust global exponential stability; decay rate; M-matrix;

D O I：

10.1216/rmjm/1181069470

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies linear impulsive systems with varying time-delay and uncertainty. By using the method of Lyapunov functions and matrix inequalities, robust global exponential stability criteria are established in terms of fairly simple algebraic conditions. Estimate of the decay rate of the solutions of such systems are also derived. Some examples are given to illustrate the main results.

引用

页码：615 / 636

页数：22

共 50 条

[1] EXPONENTIAL STABILITY OF SWITCHED LINEAR SYSTEMS WITH TIME-VARYING DELAY
Phat, Vu N.
Pairote, Satiracoo
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[2] Robust Stability of Neutral Systems with Time-Varying Delay and Uncertainty
Ma, Zhongqi
Zhou, Wuneng
Li, Minghao
Lu, Hongqian
[J]. 2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 4139 - 4143
[3] EXPONENTIAL　STABILITY　OF　LINEAR　TIME－VARYING　IMPULSIVE　DIFFERENTIAL　SYSTEMS　WITHDELAYS
关治洪
刘永清
[J]. Annals of Applied Mathematics, 1996, (01) : 51 - 59
[4] ROBUST EXPONENTIAL STABILITY OF TIME-VARYING LINEAR-SYSTEMS
HINRICHSEN, D
PRITCHARD, AJ
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1993, 3 (01) : 63 - 83
[5] Delay-dependent exponential stability of impulsive stochastic systems with time-varying delay
Cheng, Pei
Deng, Feiqi
Peng, Yunjian
[J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2011, 22 (05) : 799 - 809
[6] Delay-dependent exponential stability of impulsive stochastic systems with time-varying delay
Pei Cheng1
2.School of Mathematical Science
[J]. Journal of Systems Engineering and Electronics, 2011, 22 (05) : 799 - 809
[7] Robust stability of uncertain impulsive control systems with time-varying delay
Yang, Zhichun
Xu, Daoyi
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (05) : 760 - 769
[8] Robust exponential stability for uncertain time-varying delay systems with delay dependence
Liu, Pin-Lin
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2009, 346 (10): : 958 - 968
[9] Global exponential stability of time-delay and time-varying measure large scale systems with impulsive effects
[J]. Kongzhi yu Juece Control Decis, 3 (390):
[10] Robust exponential stability for switched systems with interval time-varying delay
Liu Yuzhong
Yin Yujuan
[J]. PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 5188 - 5193

← 1 2 3 4 5 →