Finite-Time Stability Analysis of Impulsive Switched Discrete-Time Linear Systems: The Average Dwell Time Approach

被引：0
作者：
Yijing Wang
Gai Wang
Xiaomeng Shi
Zhiqiang Zuo
机构：
[1] Tianjin University,Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering and Automation
来源：
Circuits, Systems, and Signal Processing | 2012年 / 31卷
关键词：
Finite-time stability; Switched systems; Impulse effect; Average dwell time approach;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper investigates the finite-time stability problem for a class of discrete-time switched linear systems with impulse effects. Based on the average dwell time approach, a sufficient condition is established which ensures that the state trajectory of the system remains in a bounded region of the state space over a pre-specified finite time interval. Different from the traditional condition for asymptotic stability of switched systems, it is shown that the total activation time of unstable subsystems can be greater than that of stable subsystems. Moreover, the finite-time stability degree can also be greater than one. Two examples are given to illustrate the merit of the proposed method.
引用
收藏
页码：1877 / 1886
页数：9
相关论文
共 63 条
  • [1] Amato F.(2001)Finite-time control of linear systems subject to parametric uncertainties and disturbances Automatica 37 1459-1463
  • [2] Ariola M.(2005)Finite-time control of discrete-time linear systems IEEE Trans. Autom. Control 50 724-729
  • [3] Dorato P.(2011)Finite-time stabilization of impulsive dynamical linear systems Nonlinear Anal. Hybrid Syst. 5 89-101
  • [4] Amato F.(2011)Robust finite-time stability of impulsive dynamical linear systems subject to norm-bounded uncertainties Int. J. Robust Nonlinear Control 21 1080-1082
  • [5] Ariola M.(2009)Sufficient conditions for finite-time stability of impulsive dynamical systems IEEE Trans. Autom. Control 54 861-865
  • [6] Amato F.(2000)Finite-time stability of continuous autonomous systems SIAM J. Control Optim. 38 751-766
  • [7] Ambrosino R.(1998)Multiple Lyapunov functions and other analysis tools for switched and hybrid systems IEEE Trans. Autom. Control 43 475-482
  • [8] Cosentino C.(2001)Controllability of switched bilinear systems IEEE Trans. Autom. Control 40 511-515
  • [9] De Tommasi G.(2002)Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach IEEE Trans. Autom. Control 47 1883-1887
  • [10] Amato F.(2000)Perspectives and results on the stability and stabilizability of hybrid systems Proc. IEEE 88 1069-1082
1234567