南京信息工程大学学报2012，Vol.4Issue(3)：213-219,7.
具反应扩散项的脉冲时滞Cohen-Grossberg神经网络的稳定性
Stability analysis for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays
摘要
Abstract
This work concerns thc stability for a class of impulsive Cohen-Grossberg neural networks with time-varying delays,reaction-diffusion and Neumann boundary condition. By means of the impulsive integral inequality of Gronwall-Bellman type and piecewise continuous Lyapunov functions as well as Neumann eigenvalue problem, we summarize some new and concise sufficient conditions ensuring the global exponential stability of the equilibrium point. Moreover,the provided stability criteria are shown to be associated with both reaction-diffusion and time delays. An illustrative example is finally given to demonstrate the effectiveness of our obtained results.关键词
全局指数稳定性/Cohen-Grossberg神经网络/反应扩散/变时滞/脉冲Key words
global exponential stability/ Cohen-Grossberg neural network/ reaction-diffusion/ time-varying delay/ impulse分类
信息技术与安全科学引用本文复制引用
张雨田,章旻慧..具反应扩散项的脉冲时滞Cohen-Grossberg神经网络的稳定性[J].南京信息工程大学学报,2012,4(3):213-219,7.基金项目
资助项目国家自然科学基金(60904028 （）
61174077) （）
