Existence and stability of almost periodic solutions in impulsive neural network models

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摘要

The existence and global exponential stability of an almost periodic solution of an impulsive neural network model with distributed delays is considered in a matrix setting. The approach transforms the original network into a matrix analysis problem, where a set of sufficient conditions based on spectral radius is presented. A concrete Hopfield model shows the advantages in comparison with a classical norm approach.

论文关键词:Component-wise conditions,Spectral radius,Impulsive differential systems,Almost periodic solutions,Local stability,Global exponential stability

论文评审过程:Available online 21 October 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.10.033