南通大学学报（自然科学版）2023，Vol.22Issue(4)：33-42,10.DOI:10.12194/j.ntu.20221128007
具有非线性耦合的分数阶神经网络的聚类同步
Cluster synchronization for fractional-order neural networks with nonlinear coupling
摘要
Abstract
This study investigates the cluster synchronization control of fractional-order neural networks with uncertain parameters and nonlinear coupling.Initially,projection techniques are utilized to decompose the nonlinear coupling function into oscillatory and linear parts.Inequality techniques are then employed to handle these parts separately,ef-fectively mitigating the adverse impact of nonlinear coupling on the network.To conserve resources,a pinning impul-sive control strategy based on the average impulsive interval is selected.A universal Lyapunov function for the entire network is constructed,providing sufficient conditions for the fractional-order neural networks to achieve cluster syn-chronization.Moreover,the applicability of these findings to integer-order neural networks with nonlinear coupling is also demonstrated.The validity of the theoretical results is further confirmed through numerical simulations.关键词
非线性耦合/分数阶神经网络/聚类同步/平均脉冲区间/牵引脉冲控制Key words
nonlinear coupling/fractional-order neural networks/cluster synchronization/average impulsive interval/pinning impulsive control分类
信息技术与安全科学引用本文复制引用
王雪,丁小帅,李剑..具有非线性耦合的分数阶神经网络的聚类同步[J].南通大学学报（自然科学版）,2023,22(4):33-42,10.基金项目
国家自然科学基金面上项目(11771259,11861060) （11771259,11861060）
陕西省人工智能联合实验室项目(2022JC-SYS-05) （2022JC-SYS-05）
陕西青年科技创新团队项目(21JP013) （21JP013）
陕西省自然科学基础研究计划重点项目(2023-JC-ZD-02) （2023-JC-ZD-02）
陕西科技大学博士启动项目(2021BJ-17) （2021BJ-17）
