Pattern memory analysis of second‐order neural networks with time‐delay

Pattern memory analysis of second‐order neural networks with time‐delay

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Article ID: iaor20115700
Volume: 217
Issue: 22
Start Page Number: 8883
End Page Number: 8898
Publication Date: Jul 2011
Journal: Applied Mathematics and Computation
Authors: ,
Keywords: neural networks
Abstract:

In this paper, the pattern memory of the second‐order neural networks with time‐delay are investigated based on the stability theory. Several sufficient conditions are obtained such that the equilibrium point is locally exponential stable when the equilibrium point located in the saturation region. These conditions can be directly derived from the synaptic connection weights and the external input of the second‐order neural networks, and be verified easily. In addition, four examples are given to show the effectiveness of the results.

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