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混合时滞随机神经网络全局渐近同步
引用本文:黄优良.混合时滞随机神经网络全局渐近同步[J].安徽大学学报(自然科学版),2009,33(4).
作者姓名:黄优良
作者单位:韶关学院数学系,广东,韶关,512005
摘    要:研究了一类具混合时滞神经网络耦合大系统的同步问题.应用矩阵的Kronecker积与线性矩阵不等式,得到耦合大系统同步的一些充分性判据,所得到的结果易于通过Matlab线性矩阵不等式工具箱(LMI)进行检验,所讨论的神经网络具有参数的不确定性、分布时滞、随机扰动以及非线性耦合等,而且弱化了相关文献中激励函数为严格Lipshitz或Sigma型的假定,使所得结果更为精细.

关 键 词:神经网络  同步  时变时滞  分布时滞  Lyapunov方法  随机扰动

Synchronization in an array of coupled stochastic neural networks with mixed delays
HUANG You-liang.Synchronization in an array of coupled stochastic neural networks with mixed delays[J].Journal of Anhui University(Natural Sciences),2009,33(4).
Authors:HUANG You-liang
Institution:Department of Mathematics;Shaoguan University;Shaoguan 512005;China
Abstract:The synchronization problem of an array of stochastic delayed neural networks was investigated.By exploiting Kronecker product and linear matrix inequality,some sufficient conditions,under which the array of stochastic delayed neural networks could achieve global asymptotical synchronization in the mean square,were derived.Noted that the LMIs could be easily and effectively solved by using the Matlab LMI toolbox.Here the considered neural networks were quite general,which contained parameter uncertainties,d...
Keywords:neural network  synchronization  time-varying delay  distributed delay  Lyapunov method  stochastic disturbance  
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