Input-to-state stability of switched nonlinear systems

被引:0
|
作者
Wei Feng
JiFeng Zhang
机构
[1] Shandong Agricultural University,College of Information Sciences and Engineering
[2] Chinese Academy of Sciences,Academy of Mathematics and Systems Science
关键词
switched system; input-to-state stability; Lyapunov function; dwell-time;
D O I
暂无
中图分类号
学科分类号
摘要
The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By using multiple Lyapunov function method, a sufficient ISS condition is given based on a quantitative relation of the control and the values of the Lyapunov functions of the subsystems before and after the switching instants. In terms of the average dwell-time of the switching laws, some sufficient ISS conditions are obtained for switched nonlinear systems and switched linear systems, respectively.
引用
收藏
相关论文
共 50 条
  • [1] Input-to-state stability of switched nonlinear systems
    Feng Wei
    Zhang JiFeng
    [J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2008, 51 (12): : 1992 - 2004
  • [2] Input-to-state stability of switched nonlinear systems
    FENG Wei1
    2 Academy of Mathematics and Systems Science
    [J]. Science China(Information Sciences), 2008, (12) : 1992 - 2004
  • [3] Input-to-state Stability of Switched Stochastic Nonlinear Systems
    Zhao Ping
    Wang Zhonghua
    [J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1404 - 1406
  • [4] Integral input-to-state stability of switched nonlinear systems
    Wang, Yue-E
    Wu, Caiyun
    Sun, Xi-Ming
    Dimirovski, Georgi M.
    Zhao, Jun
    [J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 6578 - 6582
  • [5] Input-to-state stability and stabilization of impulsive switched nonlinear systems
    Liu, Dan
    Lian, Jie
    Wang, Jun
    Wang, Dong
    [J]. PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 2202 - 2207
  • [6] Input-to-state stability and stabilization for switched nonlinear positive systems
    Zhao, Ping
    Kang, Yu
    Niu, Ben
    Zhao, Yan
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2023, 47
  • [7] Input-to-state stability analysis for nonlinear switched descriptor systems
    Gao, Zai-Rui
    Shen, Yan-Xia
    Ji, Zhi-Cheng
    [J]. Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2013, 30 (03): : 385 - 391
  • [8] Stochastic input-to-state stability of switched stochastic nonlinear systems
    Zhao, Ping
    Feng, Wei
    Kang, Yu
    [J]. AUTOMATICA, 2012, 48 (10) : 2569 - 2576
  • [9] Input-to-state stabilization of switched nonlinear systems
    Xie, WX
    Wen, CY
    Li, ZG
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) : 1111 - 1116
  • [10] Input-to-state Stability of Discrete-Time Switched Nonlinear Systems
    Li Guiyuan
    Zhao Ping
    [J]. 2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 3296 - 3300