北华大学学报（自然科学版）2016，Vol.17Issue(4)：434-438,5.DOI:10.11713/j.issn.1009-4822.2016.04.003
一类具有无穷分布时滞的反应扩散神经网络的全局渐近稳定性
Global Asymptotic Stability for a Class of Reaction-Diffusion Neural Networks with Infinite Distributed Delays
摘要
Abstract
This paper deals with the problem for a class of reaction-diffusion neural networks with infinite distributed delays under Dirichlet boundary conditions. By utilizing the Lyapunov stability theory and constructing suitable Lyapunov-Krasovskii functionals, we obtain global asymptotic stability criteria on the basis of linear matrix inequalities ( LMIs ) , which solvability heavily depends on the information of diffusion coefficient and diffusion space. The numerical simulation shows the efficiency of obtained theory criteria.关键词
全局渐近稳定性/反应扩散/无穷分布时滞/Lyapunov-Krasovskii泛函Key words
global asymptotic stability/reaction-diffusion/infinite distributed delays/Lyapunov-Krasovskii functional分类
数学引用本文复制引用
吕天石,甘勤涛..一类具有无穷分布时滞的反应扩散神经网络的全局渐近稳定性[J].北华大学学报（自然科学版）,2016,17(4):434-438,5.基金项目
国家自然科学基金项目(61305076) （61305076）
军事工程学院基础部基础创新研究基金资助项目(JCCX1601) （JCCX1601）
