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Global exponential stability for interval general bidirectional associative memory (BAM) neural networks with proportional delays

Authors :
Changjin Xu
Yicheng Pang
Peiluan Li
Source :
Mathematical Methods in the Applied Sciences. 39:5720-5731
Publication Year :
2016
Publisher :
Wiley, 2016.

Abstract

This paper is concerned with interval general bidirectional associative memory (BAM) neural networks with proportional delays. Using appropriate nonlinear variable transformations, the interval general BAM neural networks with proportional delays can be equivalently transformed into the interval general BAM neural networks with constant delays. The sufficient condition for the existence and uniqueness of equilibrium point of the model is established by applying Brouwer's fixed point theorem. By constructing suitable delay differential inequalities, some sufficient conditions for the global exponential stability of the model are obtained. Two examples are given to illustrate the effectiveness of the obtained results. This paper ends with a brief conclusion. Copyright © 2016 John Wiley & Sons, Ltd.

Details

ISSN :
01704214
Volume :
39
Database :
OpenAIRE
Journal :
Mathematical Methods in the Applied Sciences
Accession number :
edsair.doi...........b9e04298c69dfb2b99c0d731f7e26c7a