Title
New delay-interval-dependent stability criteria for static neural networks with time-varying delays
Abstract
This paper introduces an effective approach to study the stability of static neural networks with interval time-varying delay using delay partitioning approach and tighter integral inequality lemma. By decomposing the delay interval into multiple equidistant subintervals and multiple nonuniform subintervals, some suitable Lyapunov-Krasovskii functionals are constructed on these intervals. A set of novel sufficient conditions are obtained to guarantee the stability analysis issue for the considered system. These conditions are expressed in the framework of linear matrix inequalities, which heavily depend on the lower and upper bounds of the time-varying delay. It is shown, by comparing with existing approaches, that the delay-partitioning approach can largely reduce the conservatism of the stability results. Finally, three examples are given to show the effectiveness of the theoretical results.
Year
DOI
Venue
2016
10.1016/j.neucom.2015.12.063
Neurocomputing
Keywords
Field
DocType
Static neural network,Lyapunov functional,Time-varying delay,Delay-interval-dependent stability,Delay partitioning approach
Equidistant,Control theory,Matrix (mathematics),Elmore delay,Artificial neural network,Lyapunov functional,Lemma (mathematics),Mathematics
Journal
Volume
Issue
ISSN
186
C
0925-2312
Citations 
PageRank 
References 
2
0.38
31
Authors
5
Name
Order
Citations
PageRank
S. Senthilraj1603.22
R. Raja218012.58
Quanxin Zhu3110067.69
R. Samidurai427515.47
Zhangsong Yao5141.21