DocumentCode
1756576
Title
Stability Analysis of Continuous-Time Switched Systems With a Random Switching Signal
Author
Junlin Xiong ; Lam, James ; Zhan Shu ; Xuerong Mao
Author_Institution
Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei, China
Volume
59
Issue
1
fYear
2014
fDate
Jan. 2014
Firstpage
180
Lastpage
186
Abstract
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.
Keywords
Lyapunov methods; continuous time systems; linear matrix inequalities; stability; time-varying systems; Lyapunov approach; continuous-time switched systems; linear matrix inequalities; random switching signal; stability analysis; stochastic stability; Dwell time; random switching; stochastic stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2013.2266751
Filename
6525316
Link To Document