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Global exponential convergence of multitime-scale neural networks

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2 Author(s)
Hongtao Lu ; Dept. of Comput. Sci. & Eng., Shanghai Jiao Tong Univ., China ; Guanrong Chen

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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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:52 ,  Issue: 11 )