天津师范大学学报（自然科学版）2025，Vol.45Issue(3)：8-14,7.DOI:10.19638/j.issn1671-1114.20250302
一类比例时滞神经网络的全局多项式同步
Global polynomial synchronization of a class of neural networks with proportional delays
摘要
Abstract
A class of neural networks with proportional delays is taken as the drive-response systems,where the activation function contains the connection weights and external inputs of the neural networks.The global polynomial synchronization of the system is studied.Firstly,the error system of the drive-response systems is given.And then,by designing the feedback con-troller,constructing Lyapunov functional,the global polynomial synchronization criterion of the systems is obtained,and the criterion is given in the form of algebraic inequalities.Finally,the obtained results are verified through two numerical examples and simulations.关键词
比例时滞/神经网络/全局多项式同步/反馈控制器/Lyapunov泛函Key words
proportional delay/neural networks/global polynomial synchronization/feedback controller/Lyapunov functional分类
数学引用本文复制引用
王雅儒,周立群..一类比例时滞神经网络的全局多项式同步[J].天津师范大学学报（自然科学版）,2025,45(3):8-14,7.基金项目
国家自然科学基金资助项目(11902221,12101452) （11902221,12101452）
天津市自然科学基金资助项目(24JCYBJC00470). （24JCYBJC00470）
