Lyapunov Conditions for Finite-Time Input-to-State Stability of Impulsive Switched Systems

被引：6
|
作者：
Zhang, Taixiang [1 ]
Cao, Jinde [1 ]
Li, Xiaodi [2 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[2] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2024年 / 11卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Switched systems; Switches; Stability analysis; Asymptotic stability; Sufficient conditions; Estimation; Dynamical systems;
D O I：
10.1109/JAS.2023.123888
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Dear Editor, This letter studies finite-time input-to-state stability (FTISS) for impulsive switched systems. A set of Lyapunov-based conditions are established for guaranteeing FTISS property. When constituent modes governing continuous dynamics are FTISS and discrete dynamics involving impulses are destabilizing, the FTISS can be retained if impulsive-switching signals satisfy an average dwell-time (ADT) condition. When some or even all constituent modes governing continuous dynamics are not FTISS and discrete dynamics involving impulses are stabilizing, the FTISS can be achieved if impulsive-switching signals satisfy a reverse ADT condition. Examples are presented to illustrate the efficiency of proposed results.
引用
收藏
页码：1057 / 1059
页数：3
相关论文
共 50 条
  • [1] Lyapunov Conditions for Finite-Time Input-to-State Stability of Impulsive Switched Systems
    Taixiang Zhang
    Jinde Cao
    Xiaodi Li
    IEEE/CAA Journal of Automatica Sinica, 2024, 11 (04) : 1057 - 1059
  • [2] Finite-time stochastic input-to-state stability of impulsive switched stochastic nonlinear systems
    Ai, Zidong
    Zong, Guangdeng
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 245 : 462 - 473
  • [3] Finite-time stochastic input-to-state stability of impulsive switched stochastic nonlinear systems
    Ai, Zidong
    Zong, Guangdeng
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 3970 - 3975
  • [4] Finite-time input-to-state stability of nonlinear impulsive systems
    He, Xinyi
    Li, Xiaodi
    Song, Shiji
    AUTOMATICA, 2022, 135
  • [5] Sufficient conditions on finite-time input-to-state stability of nonlinear impulsive systems: a relaxed Lyapunov function method
    Wang, Zengyun
    Cao, Jinde
    Cai, Zuowei
    INTERNATIONAL JOURNAL OF CONTROL, 2022, 95 (11) : 2992 - 3001
  • [6] Finite-Time Input-to-State Stability and Optimization of Switched Systems
    Wang Xiaoli
    Hong Yiguang
    Jiang Zhongping
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 7, 2008, : 479 - +
  • [7] Lyapunov conditions for input-to-state stability of impulsive systems
    Hespanha, Joao P.
    Liberzon, Daniel
    Teel, Andrew R.
    AUTOMATICA, 2008, 44 (11) : 2735 - 2744
  • [8] Finite-Time Input-to-State Stability and Optimization of Switched Nonlinear Systems
    Wang, Xiaoli
    Shao, Chuntao
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2013, 135 (04):
  • [9] Finite-time input-to-state stability and settling-time estimation of impulsive switched systems with multiple impulses
    Zhang, Taixiang
    Cao, Jinde
    Li, Xiaodi
    Hua, Liang
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (17):
  • [10] Finite-time input-to-state stability and related Lyapunov analysis
    Hong Yiguang
    Jiang Zhongping
    Feng Gang
    PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 6, 2007, : 652 - +
12345