%0 Journal Article
%T 不动点原理在时滞BAM神经网络稳定性分析中的一个应用<br>An Application of the Fixed Point Theory in Stability Analysis of Delayed Bi-Directional Associative Memory (BAM) Neural Networks
%A 牟天伟
%A 饶若峰&lt
%A br&gt
%A MU Tian-wei
%A RAO Ruo-feng
%J 西南大学学报(自然科学版)
%D 2017
%R 10.13718/j.cnki.xdzk.2017.06.002
%X 不动点原理很难运用于BAM神经网络的稳定性分析，据了解，没有文章涉及用不动点方法解决BAM神经网络的稳定性判别问题.构造了一个乘积空间上的压缩映射，第一次用压缩映像原理获得了BAM神经网络的全局指数型稳定性的判据.不同于很多已知文献，该研究所得的稳定性判据可以运用计算机LMI工具箱进行判断.数值实例证实了所述方法的有效性.<br>In this paper, by formulating a contraction mapping in the product space, the authors derive a global exponential stability criterion for BAM neural networks with time-delays. Different from the existing literature, the newly-obtained criterion can be easily verified by the computer matlab LMI toolbox. Moreover, a numerical example is presented to illustrate the effectiveness of the proposed method
%K BAM神经网络
%K 时滞
%K 压缩映射&lt
%K br&gt
%K BAM neural network
%K time-delay
%K contraction mapping
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2017/6/201706002.htm