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时滞分数阶复值神经网络的存在性与一致稳定性分析。

Existence and uniform stability analysis of fractional-order complex-valued neural networks with time delays.

出版信息

IEEE Trans Neural Netw Learn Syst. 2015 Jan;26(1):84-97. doi: 10.1109/TNNLS.2014.2311099.

Abstract

This paper deals with the problem of existence and uniform stability analysis of fractional-order complex-valued neural networks with constant time delays. Complex-valued recurrent neural networks is an extension of real-valued recurrent neural networks that includes complex-valued states, connection weights, or activation functions. This paper explains sufficient condition for the existence and uniform stability analysis of such networks. Three numerical simulations are delineated to substantiate the effectiveness of the theoretical results.

摘要

本文研究了具有常时滞的分数阶复值神经网络的存在性和一致稳定性分析问题。复值递归神经网络是实数递归神经网络的扩展,它包括复值状态、连接权重或激活函数。本文给出了此类网络存在性和一致稳定性分析的充分条件。通过三个数值模拟来说明理论结果的有效性。

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