Finite time stability and stabilization of hybrid dynamic systems

被引:0
|
作者
Guopei Chen1
2. Department of Applied Mathematics
机构
基金
中国国家自然科学基金;
关键词
hybrid dynamic systems; multiple Lyapunov function; finite time Lyapunov function; stability; stabilization;
D O I
暂无
中图分类号
O19 [动力系统理论];
学科分类号
070104 ; 0711 ; 071101 ;
摘要
Finite time stability and stabilization are studied for hy-brid dynamic systems. By combining multiple Lyapunov function and finite time Lyapunov function, a sufficient condition of finite time stability is given for the system. Compared with the previ-ous works, our results have less conservativeness. Furthermore, based on the state partition of continuous and resetting parts of system, a hybrid feedback controller is constructed, which stabi-lizes the closed-loop systems in finite time. Finally, a numerical example is provided to demonstrate the effectiveness of the pro-posed method.
引用
收藏
页码:1084 / 1089
页数:6
相关论文
共 50 条
  • [21] Finite time stability of a class of hybrid dynamical systems
    Chen, G.
    Yang, Y.
    Li, J.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (01): : 8 - 13
  • [22] Finite Time Stability and Optimal Finite Time Stabilization for Discrete-Time Stochastic Dynamical Systems
    Lee, Junsoo
    Haddad, Wassim M. M.
    Lanchares, Manuel
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (07) : 3978 - 3991
  • [23] Stability and stabilization of continuous-time singular hybrid systems
    Xia, Yuanqing
    Boukas, El-Kebir
    Shi, Peng
    Zhang, Jinhui
    AUTOMATICA, 2009, 45 (06) : 1504 - 1509
  • [24] Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems with Jumps
    Zhang, Minsong
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [25] Finite Time Stabilization to Zero and Exponential Stability of Quasilinear Hyperbolic Systems
    Lyul'ko, N. A.
    SIBERIAN MATHEMATICAL JOURNAL, 2023, 64 (06) : 1356 - 1371
  • [26] FINITE-TIME STABILITY AND STABILIZATION FOR SWITCHED DISCRETE LINEAR SYSTEMS
    Xiang, Weiming
    Xiao, Jian
    Xiao, Chengyong
    CONTROL AND INTELLIGENT SYSTEMS, 2011, 39 (02) : 122 - 128
  • [27] Finite Time Stabilization to Zero and Exponential Stability of Quasilinear Hyperbolic Systems
    N. A. Lyul’ko
    Siberian Mathematical Journal, 2023, 64 : 1356 - 1371
  • [28] Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties
    Hong, Yiguang
    Jiang, Zhong-Ping
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (12) : 1950 - 1956
  • [29] Finite-time stability and stabilization for a class of quadratic discrete-time systems
    Feng, Zhi-Hui
    Deng, Fei-Qi
    Liu, Wen-Hui
    Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science), 2015, 43 (01): : 9 - 14
  • [30] FINITE-TIME STABILITY AND STABILIZATION OF A CLASS OF NONLINEAR TIME-DELAY SYSTEMS
    Yang, Renming
    Wang, Yuzhen
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (05) : 3113 - 3131