混合时滞惯性神经网络的固定时间投影同步  

Fixed-time projective synchronization of inertial neural network with mixed time delays

作　　者：王天奇 胡军浩[1] 李燕 WANG Tianqi;HU Junhao;LI Yan(College of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China;College of Informatics,Huazhong Agriculture University,Wuhan 430072,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074 [2]华中农业大学信息学院,武汉430072

出　　处：《中南民族大学学报(自然科学版)》2025年第3期407-413,共7页Journal of South-Central Minzu University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(62373383)。

摘　　要：研究了一类带有混合时滞、状态切换连接权重、不连续激活函数的惯性神经网络的固定时间投影同步问题.利用非降阶法、不等式放缩技巧、微分包含理论和恰当的Lyapunov函数得到了此类系统固定时间投影同步判据.所构建的切换控制器有效解决了因系统跳变对同步研究带来的不确定性难题.最后,利用数值仿真验证本文结论的可靠性.The problem of fixed-time projective synchronization of inertial neural networks with mixed time delays,stateswitching connection weights and discontinuous activation functions(DAFs)is studied.By using non-reduction method,inequality reduction technique,differential inclusion theory and appropriate Lyapunov function,the fixed-time projective synchronization criterion of such systems is obtained.The constructed switching controller can effectively solve the uncertainty problem caused by system hopping.Finally,the reliability of the conclusions is verified by numerical simulation.

关 键 词：惯性神经网络 固定时间投影同步 混合时滞 非降阶方法 切换控制器 

分 类 号：O625.67[理学—有机化学] O643.3[理学—化学]