时滞干扰环状网络的修正函数投影同步及仿真  

Modified Function Projective Synchronization of the Ring Network with Time-delay Disturbance and Its Simulation

作　　者：李德奎 毛北行[2] LI Dekui;MAO Beixing(Department of Science Teaching,Gansu University of Chinese Medicine,Dingxi,Gansu 730000 China;School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou,Henan 450015 China)

机构地区：[1]甘肃中医药大学理科教学部,甘肃定西743000 [2]郑州航空工业管理学院数学学院,河南郑州450015

出　　处：《计算物理》2023年第5期643-652,共10页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(61364001);甘肃省自然科学基金(21JR1RA259)资助项目。

摘　　要：为了提高环状网络保密通信的安全性,分析时滞干扰对环状网络同步的影响。首先根据环状网络的拓扑结构,构造时变时滞干扰环状网络的数学模型,然后基于Lyapunov稳定性方法,设计自适应控制器控制环状网络,实现无时滞、常时滞和时变时滞干扰环状网络的修正函数投影同步,说明该自适应控制器具有普适性。通过数值仿真验证了理论分析的正确性,同时发现时滞干扰会降低环状网络的同步能力,时滞值越大,同步能力越差,实现同步所需的时间越长。To improve the security of secret communication in ring networks,we analyze the effect of time delay interference on a ring network synchronization.Firstly,according to the topology of the ring network,the mathematical model of the ring network disturbed by time-varying delay is constructed.Then,based on the Lyapunov stability method,an adaptive controller is designed to control the ring network,and realize the modified function projection synchronization of the ring network with no time-delay,constantdelay and time-varying-delay,which shows that the adaptive controller is universal.At last,the correctness of the theoretical analysis is verified by numerical simulation,and it is found that the synchronization ability of the ring network is reduced by time-delay interference,the greater the delay,the worse the synchronization ability and the longer the time needed to achieve synchronization.

关 键 词：环状网络 时滞干扰 修正函数投影同步 

分 类 号：TP271.62[自动化与计算机技术—检测技术与自动化装置]