Stability Analysis for Nonstationary Switched Systems

被引：0
|
作者：
A. V. Platonov
机构：
[1] Saint Petersburg State University,
来源：
Russian Mathematics | 2020年 / 64卷
关键词：
nonstationary switched systems; asymptotic stability; Lyapunov’s direct method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the problem of asymptotic stability for nonstationary switched systems. The direct Lyapunov method is used. It is assumed that for any mode a comparison equation in the Bernoulli form is constructed for the considered system. Sufficient conditions on the nonstationary coefficients of the comparison equations and the switching law are found to guarantee the asymptotic stability of the zero solution of the studied system. Obtained results are applied to the stability analysis of some classes of mechanical systems with switched force fields.
引用
收藏
页码：56 / 65
页数：9
相关论文
共 50 条
  • [1] Stability Analysis for Nonstationary Switched Systems
    Platonov, A. V.
    [J]. RUSSIAN MATHEMATICS, 2020, 64 (02) : 56 - 65
  • [2] Stability analysis of switched systems
    Hou, L
    Michel, AN
    Ye, H
    [J]. PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 1208 - 1212
  • [3] Stability Analysis of Switched Systems
    Zhang, Jinjing
    Li, Fan
    Yang, Xiaobin
    Li, Li
    [J]. KNOWLEDGE SCIENCE, ENGINEERING AND MANAGEMENT, KSEM 2016, 2016, 9983 : 478 - 488
  • [4] The stability analysis of switched systems
    Zhou, DT
    Xiao, Y
    Mu, MC
    [J]. 2001 INTERNATIONAL CONFERENCES ON INFO-TECH AND INFO-NET PROCEEDINGS, CONFERENCE A-G: INFO-TECH & INFO-NET: A KEY TO BETTER LIFE, 2001, : D215 - D220
  • [5] A new stability analysis of switched systems
    Lee, SH
    Kim, TH
    Lim, JT
    [J]. AUTOMATICA, 2000, 36 (06) : 917 - 922
  • [6] Stability analysis of switched stochastic systems
    Wei, Feng
    Jie, Tian
    Ping, Zhao
    [J]. AUTOMATICA, 2011, 47 (01) : 148 - 157
  • [7] On the Stability Analysis of Switched Stochastic Systems
    Feng Wei
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 3, 2008, : 67 - 71
  • [8] Stability analysis for circulant systems and switched circulant systems
    Li, JH
    Zhao, SZ
    Zhao, J
    Li, YP
    [J]. 2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 2805 - 2809
  • [9] Stability analysis and design of switched normal systems
    Zhai, GS
    Lin, H
    Xu, XP
    Michel, AN
    [J]. 2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3253 - 3258
  • [10] Stability Analysis of a Class of Switched Lurie Systems
    Mao, Bei-xing
    Wang, Dong-xiao
    [J]. ACHIEVEMENTS IN ENGINEERING MATERIALS, ENERGY, MANAGEMENT AND CONTROL BASED ON INFORMATION TECHNOLOGY, PTS 1 AND 2, 2011, 171-172 : 584 - 587
12345