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New Results of a Class of Two-Neuron Networks with Time-Varying Delays

Journal of Inequalities and Applications · 2009

doi:10.1155/2008/648148 (opens in a new tab)

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Abstract

With the help of the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities, we make a further investigation of a class of planar systems, which is generalization of some existing neural networks under a time-varying environment. Without assuming the smoothness, monotonicity, and boundedness of the activation functions, a set of sufficient conditions is given for checking the existence of periodic solution and global exponential stability for such neural networks. The obtained results extend and improve some earlier publications.

Abstract licence: CC BY-NC-ND

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