Abstract
In this paper, a class of impulsive bidirectional associative memory (BAM) fuzzy cellular neural networks (FCNNs) with time delays in the leakage terms and distributed delays is formulated and investigated. By establishing an integro-differential inequality with impulsive initial conditions and employing M-matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive BAM FCNNs with time delays in the leakage terms and distributed delays are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on the delay kernel functions and system parameters. It is believed that these results are significant and useful for the design and applications of BAM FCNNs. An example is given to show the effectiveness of the results obtained here.
Highlights
1 Introduction The bidirectional associative memory (BAM) neural network models were first introduced by Kosko [1]
The BAM neural network is composed of neurons arranged in two layers, the X-layer and Y-layer
Time delays may lead to oscillation, divergence or instability which may be harmful to a system
Summary
The bidirectional associative memory (BAM) neural network models were first introduced by Kosko [1]. Through iterations of forward and backward information flows between the two layer, it performs a two-way associative search for stored bipolar vector pairs and generalize the single-layer autoassociative Hebbian correlation to a two-layer patternmatched heteroassociative circuits This class of networks possesses good application prospects in some fields such as pattern recognition, signal and image process, and artificial intelligence [2]. To the best of our knowledge, few authors have considered impulsive BAM FCNNs with time delays in the leakage terms and distributed delays. Motivated by the above discussions, the objective of this paper is to formulate and study impulsive BAM FCNNs with time delays in the leakage terms and distributed delays.
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