Abstract
In this paper, the Bi-directional Associative Memory (BAM) neural network with axonal signal transmission delay (DBAM) is considered. By combining a number of different Lyapunov functionals with the Razumikhin technique, some sufficient conditions for the existence of unique equilibrium and globally asymptotic stability are derived. These results are fairly general and can be verified easily. 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 C/sup 1/-smooth sigmoids. We believe that the results obtained have considerable significance in the design and application of the BAM neural network.
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