On the Stability of Switched Linear Systems with Infinite of Subsystems

被引：0
|
作者：
Leila, Fallah A. [1 ]
机构：
[1] Arak Univ Technol, Dept Elect Engn, Arak, Iran
来源：
INTERNATIONAL JOURNAL OF ADVANCED BIOTECHNOLOGY AND RESEARCH | 2016年 / 7卷
关键词：
Asymptotic stability; Special structure; Sufficient conditions; Switching systems;
D O I：
暂无
中图分类号：
Q81 [生物工程学（生物技术）]; Q93 [微生物学];
学科分类号：
071005 ; 0836 ; 090102 ; 100705 ;
摘要：
Stability of switched linear systems is an important problem in control systems. A class of switched linear systems is the one which can switch between infinite numbers of subsystems. This paper shows that the stability problem for arbitrary switching linear systems with finite number of subsystems in general is not equivalent to the stability of switched linear systems with infinite number of subsystems. The paper presents a new necessary and sufficient condition for the one with a special structure. Finally it considerssomeexamplesandsimulationresults.
引用
收藏
页码：1453 / U1760
页数：9
相关论文
共 50 条
  • [1] Stability of a Class of Switched Linear Systems with Infinite Number of Subsystems
    Araghi, L. F.
    Suratgar, A. A.
    Feizi, E.
    CONTROL ENGINEERING AND APPLIED INFORMATICS, 2013, 15 (03): : 38 - 44
  • [2] Global Uniform Asymptotic Stability of a Class of Switched Linear Systems with an Infinite Number of Subsystems
    Araghi, L. F.
    Suratgar, A. A.
    Feizi, E.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [3] Robust stability analysis of uncertain switched linear systems with unstable subsystems
    Yu, Qiang
    Wu, Baowei
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (07) : 1278 - 1287
  • [4] Stability analysis of switched positive linear systems with stable and unstable subsystems
    Zhang, Ji-Shi
    Wang, Yan-Wu
    Xiao, Jiang-Wen
    Shen, Yan-Jun
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (12) : 2458 - 2465
  • [5] Exponential Stability of Switched Positive Linear Systems without Stable Subsystems
    Zhao, Hongfei
    Li, Yang
    2017 4TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING (ICISCE), 2017, : 984 - 988
  • [6] Stability Analysis for Linear Switched Time-Delay Systems with Unstable Subsystems
    Qu, Yuan-Chao
    Liu, Yu-Zhong
    Zhao, Xiao-Qi
    Zhang, Li-Na
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2251 - 2255
  • [7] Stability analysis of discrete-time switched linear systems with unstable subsystems
    Yu, Qiang
    Zhao, Xudong
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 718 - 725
  • [8] Stability of bimodal planar switched linear systems with both stable and unstable subsystems
    Tripathi, Swapnil
    Agarwal, Nikita
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (15) : 3254 - 3285
  • [9] A general stability criterion for switched linear systems having stable and unstable subsystems
    San Martin, Jesus
    O'Farrell, Anthony G.
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2013, 27 (11) : 1000 - 1011
  • [10] Power stability of discrete linear switched infinite-dimensional systems
    Sun Wei
    Zhao Yi
    Huang Yu
    PROCEEDINGS OF 2006 CHINESE CONTROL AND DECISION CONFERENCE, 2006, : 87 - 89
12345