Paper Info
Title
On Delay-Range-Dependent Stochastic Stability Conditions of Uncertain Neutral Delay Markovian Jump Systems.
Abstract
The delay-range-dependent stochastic stability for uncertain neutral Markovian jump systems with interval time-varying delays is studied in this paper. The uncertainties under consideration are assumed to be time varying but norm bounded. To begin with the nominal systems, a novel augmented Lyapunov functional which contains some triple-integral terms is introduced. Then, by employing some integral inequalities and the nature of convex combination, some less conservative stochastic stability conditions are presented in terms of linear matrix inequalities without introducing any free-weighting matrices. Finally, numerical examples are provided to demonstrate the effectiveness and to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.
Year
DOI
Venue
2013
10.1155/2013/101485
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Mathematical optimization,Stochastic stability,Control theory,Matrix (mathematics),Convex combination,Markovian jump,Lyapunov functional,Mathematics,Bounded function
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
1
PageRank 
References 
Authors
0.35
14
2
Name
Order
Citations
PageRank
Xinghua Liu17614.84
Hongsheng Xi235738.39