单向时滞耦合星形网络的函数投影同步  

Functional Projection Synchronization of the One-way Coupling Star Network with Delay

作　　者：付思源[1] 

机构地区：[1]甘肃中医药大学理科教学部,甘肃定西743000

出　　处：《自动化与仪器仪表》2017年第7期52-55,共4页Automation & Instrumentation

摘　　要：首先根据星形网络的拓扑结构图,建立单向时滞耦合星形网络的数学模型;然后根据误差线性系统的稳定性依赖其雅克比矩阵的特征值的特性,构造星形网络非中心节点状态变量的自适应控制器.并基于Lyapunov稳定性定理,设计星形网络中心节点的泛函微分控制器.同时理论分析所构造的控制器能够使得星形网络各节点的状态变量和孤立节点的状态变量实现函数投影同步.最后数值仿真的结果表明控制器的有效性和理论分析的正确性.According to a topology structure figure of a star network, firstly, a mathematical model of one-way star network coupled time-delay is set up;And then according to the stability of the error linear system depending on eigenvalue of the Jacobi matrix, many adaptive controllers for the no center nodes＇ state variables of the star network is structured ; And based on the Lyapunov stability theorem, a functional differential controller is designed for the star network center node. At the same time, the structural controllers can make the star network state variables of each node and an isolated node state variable function projective synchronization by theoretical analysis. Finally, the numerical simulation results demonstrate the effectiveness of the controllers and the correctness of the theoretical analysis.

关 键 词：单向耦合 星形网络 时变时滞 函数投影同步 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]