变时滞Cohen-Grossberg脉冲随机反应扩散神经网络的吸引集  

Attracting Sets of Impulsive Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays

作　　者：赵雁[1] 

机构地区：[1]乐山职业技术学院电子信息工程系,四川乐山614000

出　　处：《四川师范大学学报（自然科学版）》2014年第3期358-363,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省应用基础项目(2012JYZ019)资助项目

摘　　要：由于神经网络具有有限的放大器转换速度和空间延伸,而且经常受随机和脉冲因素的影响,所以在神经网络的设计中,必须考虑变时滞、脉冲和随机扰动.讨论了变时滞Cohen-Grossberg脉冲随机反应扩散神经网络的吸引集.利用Ito公式,时滞微分不等式和M-矩阵性质,获得了变时滞Cohen-Grossberg脉冲随机反应扩散神经网络的吸引集存在的充分条件.We must take time-varying delays,impulse and stochastic perturbations into account in the design of neural networks due to it is with finite switching speeds of the amplifiers and with a spatial extent,and it is affected by impulse and stochastic factors usually.In this paper,we discuss the attracting sets of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays.By using the Ito formula,delay differential inequality and properties of the M-matrix,we obtain some sufficient conditions ensuring the existence of attracting sets of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays.

关 键 词：脉冲 随机 反应扩散 吸引集 

分 类 号：O175.13[理学—数学]