Title
Stability analysis of recurrent neural networks with interval time-varying delay via free-matrix-based integral inequality.
Abstract
This paper is concerned with the stability analysis of recurrent neural networks with an interval time-varying delay. A new Lyapunov–Krasovskii functional (LKF) containing some augmented double integral and triple integral terms is constructed, in which the information of the activation function and the lower bound of the delay are both fully considered. Then, a free-matrix-based integral inequality is employed to deal with the derivative of the LKF such that an improved stability criterion is derived. Finally, two numerical examples are provided to illustrate the effectiveness and the benefit of the proposed stability criterion.
Year
DOI
Venue
2016
10.1016/j.neucom.2016.04.052
Neurocomputing
Keywords
Field
DocType
Recurrent neural networks,Interval time-varying delay,Stability,Augmented Lyapunov–Krasovskii functional,Free-matrix-based integral inequality
Stability criterion,Search engine,Upper and lower bounds,Matrix (mathematics),Activation function,Recurrent neural network,Artificial intelligence,Multiple integral,Mathematics,Machine learning,Imagination
Journal
Volume
ISSN
Citations 
205
0925-2312
3
PageRank 
References 
Authors
0.37
0
5
Name
Order
Citations
PageRank
Wen-Juan Lin1635.61
Yong He23691220.49
Chuan-Ke Zhang378826.51
Min Wu43582272.55
Meng-Di Ji51153.01