Title
New delay-decomposing approaches to stability criteria for delayed neural networks.
Abstract
The problem of stability analysis for neural networks (NNs) with interval time-varying delay is investigated. New delay-decomposing approaches which are dividing the variation interval of the delay into two unequal subintervals are proposed. Some new simple Lyapunov–Krasovskii functionals (LKFs) are defined on the obtained subintervals. The integral inequality method and the reciprocally convex technique are utilized to deal with the derivative of the LKFs. Several improved delay-dependent criteria are derived in terms of the linear matrix inequalities (LMIs). Compared with some previous criteria, the proposed ones give the results with less conservatism and lower numerical complexity. Two numerical examples are included to illustrate the effectiveness and the improvement of the proposed method.
Year
DOI
Venue
2016
10.1016/j.neucom.2015.12.088
Neurocomputing
Keywords
Field
DocType
Neural network,Stability,Delay-decomposing approach,Time-varying delay,LMI
LKFS,Mathematical optimization,Division (mathematics),Matrix (mathematics),Regular polygon,Artificial neural network,Mathematics
Journal
Volume
ISSN
Citations 
189
0925-2312
0
PageRank 
References 
Authors
0.34
21
3
Name
Order
Citations
PageRank
Liangdong Guo1363.53
Xiqin He270.80
Jianjun He3105.59