Robustness with respect to small delays for exponential stability of non-autonomous systems

被引：10

作者：

Guo, FM ^{[1
]}

Yu, W

Huang, FL

机构：

[1] Univ Elect Sci & Technol China, Appl Math Coll, Chengdu 610054, Peoples R China

[2] Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 288卷 / 02期

关键词：

evolution family; non-autonomous system; robustness; small time-varying delay;

D O I：

10.1016/j.jmaa.2003.09.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Robustness of stability with respect to small delays, e.g., motivated by feedback systems in control theory, is of great theoretical and practical important, but this property does not hold for many systems. In this paper, we introduce the conception of robustness with respect to small time-varying delays for exponential stability of the non-autonomous linear systems. Sufficient conditions are given for the non-autonomous systems to be robust, and examples are provided to illustrate that the conditions are satisfied for a large class of the non-autonomous parabolic systems. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：671 / 679

页数：9

共 50 条

[1] EXPONENTIAL STABILITY CRITERIA OF LINEAR NON-AUTONOMOUS SYSTEMS WITH MULTIPLE DELAYS
Vu Ngoc Phat
Nam, Phan T.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[2] Robustness with respect to delays for exponential stability of distributed parameter systems
Rebarber, R
Townley, S
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1998, 37 (01) : 230 - 244
[3] Robustness of the stability of feedback systems with respect to small time delays
Meinsma, G
Fu, MY
Iwasaki, T
[J]. SYSTEMS & CONTROL LETTERS, 1999, 36 (02) : 131 - 134
[4] Robustness with respect to small delays for exponential stability of abstract differential equations in Banach spaces
Guo, FM
Tang, B
Huang, FL
[J]. ANZIAM JOURNAL, 2006, 47 : 555 - 568
[5] A novel approach to exponential stability of nonlinear non-autonomous difference equations with variable delays
Le Van Hien
[J]. APPLIED MATHEMATICS LETTERS, 2014, 38 : 7 - 13
[6] Preservation of exponential stability for linear non-autonomous functional differential systems
Berezansky, Leonid
Braverman, Elena
[J]. AUTOMATICA, 2010, 46 (12) : 2077 - 2081
[7] Exponential Stability of Non-autonomous Systems with Time Delay on Time Scales
Lu Xiaodong
Wang Yuzhen
Zhao Yige
[J]. PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 1476 - 1480
[8] Extension of Popov absolute stability criterion to non-autonomous systems with delays
Bliman, PA
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (15) : 1349 - 1361
[9] Characterization of Robustness with respect to Small Delay for Exponential Stability of Linear Dynamical Systems
Jiang Weisheng
Huang Falun
[J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 842 - 847
[10] The exponential stability and stabilization of non-autonomous mechanical systems with non-conservative forces
Kosov, A. A.
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2007, 71 (03): : 371 - 384

← 1 2 3 4 5 →