Robust stability of interval bidirectional associative memory neural network with time delays

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Xiaofeng Liao, Kwok-Wo Wong

Abstract

In this paper, the conventional bidirectional associative memory (BAM) neural network with signal transmission delay is intervalized in order to study the bounded effect of deviations in network parameters and external perturbations. The resultant model is referred to as a novel interval dynamic BAM (IDBAM) model. By combining a number of different Lyapunov functionals with the Razumikhin technique, some sufficient conditions for the existence of unique equilibrium and robust stability are derived. These results are fairly general and can be verified easily. To go further, we extend our investigation to the time-varying delay case. Some robust stability criteria for BAM with perturbations of time-varying delays are derived. Besides, our approach for the analysis allows us to consider several different types of activation functions, including piecewise linear sigmoids with bounded activations as well as the usual C1-smooth sigmoids. We believe that the results obtained have leading significance in the design and application of BAM neural networks.

References

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Citations

Mar 19, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Sabri Arik
Apr 11, 2013·Neural Networks : the Official Journal of the International Neural Network Society·Ozlem Faydasicok, Sabri Arik
Mar 6, 2012·Neural Networks : the Official Journal of the International Neural Network Society·Ozlem Faydasicok, Sabri Arik
Dec 22, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Hongyang LiuTingting Liu
Jul 18, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Min WuRyuichi Yokoyama
Dec 22, 2005·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Shengyuan XuYun Zou
Oct 12, 2007·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Sibel Senan, Sabri Arik
Mar 20, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Shaoshuai MouKe Chen
Jun 7, 2007·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xuyang Lou, Baotong Cui
Mar 25, 2005·IEEE Transactions on Neural Networks·Dan Shen, Jose B Cruz

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