Stability Analysis of Continuous-Time Switched Systems With a Random Switching Signal

被引：84
|
作者：
Xiong, Junlin [1 ]
Lam, James [2 ]
Shu, Zhan [3 ]
Mao, Xuerong [4 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] Univ Southampton, Sch Engn Sci, Southampton SO17 1BJ, Hants, England
[4] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Dwell time; random switching; stochastic stability; NETWORKED CONTROL-SYSTEMS; FEEDBACK-CONTROL; LINEAR-SYSTEMS; JUMP; STABILIZABILITY; STABILIZATION; MODEL;
D O I：
10.1109/TAC.2013.2266751
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide with our intuition.
引用
收藏
页码：180 / 186
页数：8
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