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具连续分布时滞与非线性脉冲BAM神经网络的全局指数稳定性
引用本文:陈超,许君燕.具连续分布时滞与非线性脉冲BAM神经网络的全局指数稳定性[J].福州大学学报(自然科学版),2011,39(2):174-179.
作者姓名:陈超  许君燕
作者单位:集美大学理学院;福州大学数学与计算机科学学院;
基金项目:福建省自然科学基金资助项目(S0750007); 福建省青年人才创新资助项日(JA09152)
摘    要:研究了具有连续分布时滞与非线性脉冲影响的BAM型神经网络的全局指数稳定性问题.利用M-矩阵以及谱理论等工具得到了系统存在惟一全局指数稳定的平衡点的充分条件.并给出一个例子说明结论的有效性.

关 键 词:BAM神经网络  连续分布时滞  非线性脉冲  全局指数稳定

Global exponential stability analysis on nonlinear impulsive BAM neural networks with continuously distributed delays
CHEN Chao,XU Jun-yan.Global exponential stability analysis on nonlinear impulsive BAM neural networks with continuously distributed delays[J].Journal of Fuzhou University(Natural Science Edition),2011,39(2):174-179.
Authors:CHEN Chao  XU Jun-yan
Institution:CHEN Chao1,XU Jun-yan2(1.College of Sciences,Jimei University,Xiamen,Fujian 361021,China,2.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China)
Abstract:In this paper,a class of bidirectional associative memory(BAM) neural networks with nonlinear impulses and continuously distributed delays are studied.By using M-matrix and spectral theory,some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium,which improve the previously known results.Finally,an example is given to illustrative the applicability of the result.
Keywords:BAM neural networks  continuously distributed delays  nonlinear impulses  global exponential stability  
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