Stability of second order Hopfield neural networks with time delays

作     者：Wang Shuna Liu Jiang 王舒娜;刘江

作者机构：School of Mathematics&StatisticsJiangsu Normal UniversityXuzhou 221116JiangsuChina 

出 版 物：《江苏师范大学学报（自然科学版）》 (Journal of Jiangsu Normal University：Natural Science Edition)

年 卷 期：2024年第42卷第3期

页      面：49-55页

学科分类：0711[理学-系统科学] 12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 081104[工学-模式识别与智能系统] 08[工学] 070104[理学-应用数学] 0835[工学-软件工程] 071101[理学-系统理论] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Research supported by the National Natural Science Foundation of China(12271220) postgraduate research and practice innovation program of Jiangsu Province(KYCX24-3010) 

主　　题：Hopfield neural network Lyapunov function existence and uniqueness global asymptotic stability 

摘      要：Dynamical behaviors of a class of second order Hopfield neural networks with time delays is *** existence of a unique equilibrium point is proved by using Brouwer s fixed point theorem and the counter proof method,and some sufficient conditions for the global asymptotic stability of the equilibrium point are obtained through the combination of a suitable Lyapunov function and an algebraic inequality technique.