摘要
本文考虑到不可避免的噪声干扰,针对一类广义时滞细胞神经网络,引入随机扰动项,利用随机微分方程理论,It积分性质及分析技巧,研究了该系统在噪声扰动下的稳定性问题,并分别给出了判定平衡点全局稳定及全局指数稳定的充分条件.其结果以不等式形式给出,便于结论验证.最后,本文给出了主要定理的一个实例,表明结论的有效性.
Based on the inevitable noise perturbation,and by introducing the random disturbance term,the stability for a class of the generalized cellular neural networks with time delay and noise perturbation is studied by using the theory of random differential equations,It integral property and some analysis techniques.Furthermore,some sufficient conditions are given to guarantee the global stability and global exponential stability of the equilibrium,respectively.The results are presented in the form of inequalities to be verified much more easily.In the end,an example is given to illustrate the effectiveness of the main theoretical results.
出处
《工程数学学报》
CSCD
北大核心
2011年第5期655-664,共10页
Chinese Journal of Engineering Mathematics
基金
浙江省自然科学基金(Y6100096)
浙江省教育厅科研计划项目(Y201019247
Y201018696
Y200805543)
绍兴文理学院重点科研项目(08LG1002)~~
关键词
广义时滞细胞神经网络
噪声
全局稳定性
全局指数稳定性
generalized cellular neural network with time delay
noise
global stability
global exponent stability
