应用数学和力学2026，Vol.47Issue(1)：101-112,12.DOI:10.21656/1000-0887.460008
一类具有不确定参数的比例时滞忆阻神经网络的全局指数同步
Global Exponential Synchronization of a Class of Memristive Neural Networks With Proportional Delays and Uncertain Parameters
摘要
Abstract
The global exponential synchronization of a class of memristive neural networks with proportional delays and uncertain parameters was studied.Firstly,the error system of the drive-response systems was estab-lished.Secondly,the exponential function was introduced and an adaptive controller was designed,to divide the error system into 4 cases according to the switching characteristics of the system,then the proper Lyapunov functional was constructed and combined with the mean value inequality,and the global exponential synchroni-zation criterion for the studied system was obtained.Meanwhile,the case of global exponential synchronization degenerating into global asymptotic synchronization was considered.Finally,the effectiveness of the obtained criterion was verified through a numerical example and simulation.关键词
比例时滞/忆阻神经网络/全局指数同步/全局渐近同步/自适应控制器Key words
proportional delay/memristive neural network/global exponential synchronization/global asymp-totic synchronization/adaptive controller分类
数理科学引用本文复制引用
郭昱贤,周立群..一类具有不确定参数的比例时滞忆阻神经网络的全局指数同步[J].应用数学和力学,2026,47(1):101-112,12.基金项目
国家自然科学基金(11902221 （）
12101452) （）
天津市自然科学基金(24JCYBJC00470) （24JCYBJC00470）
