摘要
讨论了带有可变时滞的随机区间Hopfield神经网络的指数稳定性 ,利用It^o公式和Lyapunov函数 ,得到了几个关于其指数稳定时滞无关和时滞相关的充分性条件 ,推广了现有文献中关于定常时滞随机神经网络及其确定形式的许多结果 .
A type of stochastic interval delayed Hopfield neural network had been studied. By using It formula and Lyapunov function, some new delay-dependent and delay-independent sufficient conditions of its global exponential stability had been given. All the results obtained were generalizations of some recent results reported in the literature for stochastic neural networks with constant delays or their certain cases with variable-delays.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2003年第5期746-748,共3页
Control Theory & Applications
基金
supportedbytheNationalNaturalScienceFoundationofChina (60 0 740 0 8
60 2 740 0 7
60 2 740 2 6)
theNationalDoctoralFoundationofChina (2 0 0 10 4870 0 5 ) .
关键词
HOPFIELD神经网络
指数稳定性
时滞
LYAPUNOV函数
stochastic interval delayed Hopfield neural network
Brownian motion
It formula
Lyapunov function
robust stability