Global exponential convergence of multitime-scale neural networks

Hongtao Lu, Guanrong Chen · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 2005

In this paper, we investigate the convergence and stability of a neural network model with different time scales, which models the activity of cortical cognitive maps. We provide a theoretic condition for global exponential convergence of the solutions of the network, which is proved weaker than some existing results in the literature. We also introduce time-varying delays with less constraints into the neural network model and derive a general stability condition for the delay network.

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