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-  2017 

不动点原理在时滞BAM神经网络稳定性分析中的一个应用
An Application of the Fixed Point Theory in Stability Analysis of Delayed Bi-Directional Associative Memory (BAM) Neural Networks

DOI: 10.13718/j.cnki.xdzk.2017.06.002

Keywords: BAM神经网络, 时滞, 压缩映射
BAM neural network
, time-delay, contraction mapping

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Abstract:

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.
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

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