计算机工程与科学2013，Vol.35Issue(7)：82-86,5.DOI:10.3969/j.issn.1007-130X.2013.07.014
时延细胞神经网络的全局渐近稳定性
Asymptotic stability of delayed cellular neural networks
刘小群1
作者信息
- 1. 华南理工大学经济与贸易学院,广东广州510006
- 折叠
摘要
Abstract
By constructing the new Lyapunov functional,ingeniously importing real parameters which can be adjusted,and making use of the inequalities,the global asymptotic stability of delayed cellular neural networks with variable coefficient was discussed and new sufficient conditions were obtained.The results of this paper improve,extend,unify and complement a number of existing results.They also handle a number of cases not covered by known criteria.Theoretical analysis and mathematical derivation show that the global asymptotic stability is related to the delay.The results we obtained highlight the impact of delay on the global asymptotic stability of cellular neural networks.This is of important guiding significance for the design of cellular neural networks with delay.Interesting examples were included to show the versatility of our results.And they greatly enlarge the area of designing neural networks.This has important significance in both theory and application.关键词
时延细胞神经网络/全局渐近稳定性/Lyapunov泛函Key words
delayed cellular neural networks / global asymptotic stability / Lyapunov functional分类
数理科学引用本文复制引用
刘小群..时延细胞神经网络的全局渐近稳定性[J].计算机工程与科学,2013,35(7):82-86,5.
