Title
New delay-dependent bounded real lemmas of polytopic uncertain singular Markov jump systems with time delays
Abstract
This paper addresses the H∞ performance analysis problem for singular Markov jump delayed systems with polyhedral parameter uncertainties. By introducing two useful inequalities (see Lemma 2), some new bounded real lemmas (BRLs) are obtained based on a novel parameter-dependent Lyapunov functional. The presented BRLs can guarantee that the considered system is stochastically admissible and satisfies a prescribed H∞ performance level. Two numerical examples are provided to demonstrate the improvement of the proposed method over the existing methods.
Year
DOI
Venue
2014
10.1016/j.jfranklin.2013.12.004
Journal of the Franklin Institute
Field
DocType
Volume
Mathematical optimization,Control theory,Markov chain,Jump,Lyapunov functional,Mathematics,Lemma (mathematics),Bounded function
Journal
351
Issue
ISSN
Citations 
3
0016-0032
9
PageRank 
References 
Authors
0.57
26
3
Name
Order
Citations
PageRank
Jing Wang1224.50
Juhyun Park290.57
Hao Shen3131.30