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
  • [41] Finite-Time Stabilizability, Detectability, and Dynamic Output Feedback Finite-Time Stabilization of Linear Systems
    Amato, F.
    Darouach, M.
    De Tommasi, G.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (12) : 6521 - 6528
  • [42] Finite-Time Dynamic Output Feedback Stabilization of Delayed Stochastic Systems
    Chen, Yun
    Li, Qingqing
    Xue, Anke
    Ge, Ming
    Wang, Junhong
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 5246 - 5250
  • [43] Finite-time saturated stabilization for a class of nonlinear systems with dynamic feedback
    Zhang, Heng-Jun
    Wang, Chao-Li
    Chen, Hua
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2013, 30 (03): : 355 - 359
  • [44] Finite-time stability and stabilization of linear discrete time-varying stochastic systems
    Zhang, Tianliang
    Deng, Feiqi
    Zhang, Weihai
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (03): : 1247 - 1267
  • [45] ROBUST FINITE-TIME STABILITY AND STABILIZATION OF LINEAR UNCERTAIN TIME-DELAY SYSTEMS
    Stojanovic, Sreten B.
    Debeljkovic, Dragutin Lj.
    Antic, Dragan S.
    ASIAN JOURNAL OF CONTROL, 2013, 15 (05) : 1548 - 1554
  • [46] Finite-Time Annular Domain Stability and Stabilization of Discrete-Time Stochastic Systems
    Yan, Zhiguo
    Lv, Qingfeng
    Hu, Guolin
    Du, Mingjun
    PROCEEDINGS OF 2020 IEEE 9TH DATA DRIVEN CONTROL AND LEARNING SYSTEMS CONFERENCE (DDCLS'20), 2020, : 760 - 765
  • [47] Finite-Time Stability and Stabilization for Continuous Systems with Additive Time-Varying Delays
    Lin, Xiaogong
    Liang, Kun
    Li, Heng
    Jiao, Yuzhao
    Nie, Jun
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2017, 36 (07) : 2971 - 2990
  • [48] Finite-time stability and stabilization of semi-Markovian jump systems with time delay
    Li, Zhicheng
    Li, Ming
    Xu, Yinliang
    Huang, Hong
    Misra, Satyajayant
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (06) : 2064 - 2081
  • [49] Finite-Time Stability and Stabilization for Continuous Systems with Additive Time-Varying Delays
    Xiaogong Lin
    Kun Liang
    Heng Li
    Yuzhao Jiao
    Jun Nie
    Circuits, Systems, and Signal Processing, 2017, 36 : 2971 - 2990
  • [50] Finite-time stability and stabilization of linear discrete time-varying stochastic systems
    Zhang T.
    Deng F.
    Zhang W.
    Journal of the Franklin Institute, 2019, 356 (03): : 1247 - 1267