Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays

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摘要

By using exponential dichotomy, the Banach fixed point theory, constructing suitable Lyapunov functional, and combining Yang inequality, some sufficient conditions are derived ensuring existence, globally exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays. Without assuming the boundedness of signal function, these results obtained are significant in design and applications of BAM neural networks. We extend and improve previously known results.

论文关键词:BAM neural networks,Almost periodic solution,Globally exponential stability,Exponential dichotomy,Fixed point theory

论文评审过程:Available online 19 April 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.04.044