应用数学2009，Vol.22Issue(4)：888-894,7.
一类具分布时滞神经网络的全局指数稳定性
Global Exponential Stability of a Class of Neural Networks with Distributed Delays
摘要
Abstract
The paper investigates stability of a class of neural networks with distributed delays.By generalized Dahlquist constant and generalized Halanay inequality,we derive a sufficient condition for existence,uniqueness and global exponential stability of the equilibrium point of the neural networks.Moreover,our method presents the exponential convergence rate of the neural networks to stable equilibrium point.Our results generalize and improve some existing ones because our method abandons the typical assumptions on boundedness,differentiability and monotonicity of activation functions.关键词
全局指数稳定性/神经网络/分布时滞/广义Dahlquist数Key words
Global exponential stability/Neural networks/Distributed delays/Generalized Dahlquist constant分类
数理科学引用本文复制引用
宋学力,封建湖..一类具分布时滞神经网络的全局指数稳定性[J].应用数学,2009,22(4):888-894,7.基金项目
Supported by NCET and the National Basic Research Program of China (2007CB311002) （2007CB311002）
