Title
Exponential stability of switched stochastic delay systems with non-linear uncertainties
Abstract
This article considers the robust exponential stability of uncertain switched stochastic systems with time-delay. Both almost sure (sample) stability and stability in mean square are investigated. Based on Lyapunov functional methods and linear matrix inequality techniques, new criteria for exponential robust stability of switched stochastic delay systems with non-linear uncertainties are derived in terms of linear matrix inequalities and average dwell-time conditions. Numerical examples are also given to illustrate the results.
Year
DOI
Venue
2009
10.1080/00207720902755770
Int. J. Systems Science
Keywords
Field
DocType
average dwell-time condition,lyapunov functional method,stochastic delay system,mean square,linear matrix inequality,new criterion,exponential robust stability,non-linear uncertainty,stochastic system,linear matrix inequality technique,robust exponential stability,lyapunov function,exponential stability,dwell time
Lyapunov function,Exponential function,Linear form,Control theory,Nonlinear control,Matrix (mathematics),Exponential stability,Robust control,Linear matrix inequality,Mathematics
Journal
Volume
Issue
ISSN
40
6
0020-7721
Citations 
PageRank 
References 
11
0.65
23
Authors
3
Name
Order
Citations
PageRank
Jun Liu121520.63
Xinzhi Liu21318106.23
Wei-Chau Xie327612.07