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

被引：23
作者：
Wang, Yijing [1 ]
Wang, Gai [1 ]
Shi, Xiaomeng [1 ]
Zuo, Zhiqiang [1 ]
机构：
[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin Key Lab Proc Measurement & Control, Tianjin 300072, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2012年 / 31卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Finite-time stability; Switched systems; Impulse effect; Average dwell time approach; LYAPUNOV FUNCTIONS; HYBRID; STABILIZATION; SUBJECT;
D O I：
10.1007/s00034-012-9403-4
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
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：10
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