Stability of switched systems with time delay

被引：58
|
作者：
Zhang, Yi [2 ]
Liu, Xinzhi [1 ]
Shen, Xuemin [3 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
[2] China Univ Petr, Dept Math & Phys, Beijing, Peoples R China
[3] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2007年 / 1卷 / 01期
关键词：
D O I：
10.1016/j.nahs.2006.03.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the qualitative properties of linear and nonlinear delay switched systems which have stable and unstable subsystems. First, we prove some inequalities which lead to the switching laws that guarantee: (a) the global exponential stability to linear switched delay systems with stable and unstable subsystems; (b) the local exponential stability of nonlinear switched delay systems with stable and unstable subsystems. In addition, these switching laws indicate that if the total activation time ratio among the stable subsystems, unstable subsystems and time delay is larger than a certain number, the switched systems are exponentially stable for any switching signals under these laws. Some examples are given to illustrate the main results. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：44 / 58
页数：15
相关论文
共 50 条
  • [1] Stability analysis of switched time delay systems
    Yan, Peng
    Oezbay, Hitay
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (02) : 936 - 949
  • [2] Stability Analysis of Switched Time-Delay Systems
    Yan, Peng
    Ozbay, Hitay
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 2740 - 2745
  • [3] Stability of linear switched systems with time-delay
    Luo Zheng-xuan
    Zhang Xiao-li
    2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 33 - +
  • [4] Polynomial stability of positive switched homogeneous systems with time delay
    Zhang, Jie
    Sun, Yuangong
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2023, 47
  • [5] On stability of linear and weakly nonlinear switched systems with time delay
    Alwan, Mohamad S.
    Liu, Xinzhi
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (7-8) : 1150 - 1157
  • [6] Stability criteria for switched linear systems with time-delay
    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
    不详
    Kong Zhi Li Lun Yu Ying Yong, 2008, 5 (951-955):
  • [7] Stability Analysis for a Class of Switched Positive Systems with Time Delay
    Lu Jiao
    Lian Jie
    Wang Min
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 2114 - 2119
  • [8] Stability of Time-Delay Feedback Switched Linear Systems
    Vu, Linh
    Morgansen, Kristi A.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) : 2385 - 2390
  • [9] Exponential stability of singularly perturbed switched systems with time delay
    Alwan, Mohamad
    Liu, Xinzhi
    Ingalls, Brian
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (03) : 913 - 921
  • [10] Stability of switched positive linear time-delay systems
    Liu, Li-Juan
    Zhao, Xudong
    Wu, Di
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (07): : 912 - 919
12345