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具有时滞的双向联想记忆神经网络的全局渐近稳定性分析

Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays.

作者信息

Arik Sabri

机构信息

Department of Computer Engineering, Istanbul University, Istanbul 34320, Turkey.

出版信息

IEEE Trans Neural Netw. 2005 May;16(3):580-6. doi: 10.1109/tnn.2005.844910.

DOI:10.1109/tnn.2005.844910
PMID:15940988
Abstract

This paper presents a sufficient condition for the existence, uniqueness and global asymptotic stability of the equilibrium point for bidirectional associative memory (BAM) neural networks with distributed time delays. The results impose constraint conditions on the network parameters of neural system independently of the delay parameter, and they are applicable to all continuous nonmonotonic neuron activation functions. It is shown that in some special cases of the results, the stability criteria can be easily checked. Some examples are also given to compare the results with the previous results derived in the literature.

摘要

本文给出了具有分布时滞的双向联想记忆(BAM)神经网络平衡点存在性、唯一性和全局渐近稳定性的一个充分条件。这些结果对神经系统的网络参数施加了独立于时滞参数的约束条件,并且适用于所有连续非单调神经元激活函数。结果表明,在某些特殊情况下,稳定性准则易于检验。还给出了一些例子,将结果与文献中先前得到的结果进行比较。

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