复杂动力学网络上的基于线性控制下的相继投影同步  

Successive projective synchronization based on linear control over complex dynamical networks

作　　者：祝晓静 李科赞 丁勇 ZHU Xiaojing;LI Kezan;DING Yong(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China;School of Computer and Information Security,Guilin University of Electronic Technology,Guilin 541004,China;Cyberspace Security Research Center,Pengcheng Laboratory,Shenzhen 518055,China)

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]桂林电子科技大学计算机与信息安全学院,广西桂林541004 [3]鹏城实验室网络空间安全研究中心,深圳518055

出　　处：《桂林电子科技大学学报》2021年第6期510-515,共6页Journal of Guilin University of Electronic Technology

基　　金：国家自然科学基金(61772150,61663006)。

摘　　要：为了得到相继投影同步条件,提出了一种新的网络同步方式-相继投影同步。该模型具有非一致的比例因子特征,其中驱动系统由单个节点构成,响应网络由多节点耦合而成。针对网络模型进行分析,基于控制策略,结合稳定性等理论,获得了网络能够实现相继投影同步的全局稳定性条件。并且发现当耦合强度大于某个阈值,只需控制响应网络中的任意一个节点,就能实现相继投影同步。最后数值仿真检验了理论结果。In order to obtain synchronization conditions for successive projective,constructed a new network synchronization method-successive projective synchronization.It has non-uniform scale factor characteristics,the driving system is composed of a single node and the response network is composed of multiple nodes.Analyze the network model,based on control strategy,combined with theories of stability,obtained the global stability conditions for the network to achieve synchronization of successive projective.And find that if the coupling strength is larger than a certain threshold,the SPS can be realized by controlling any one node in the response network.Numerical simulations verify the obtained theoretical results.

关 键 词：相继投影同步 投影同步 线性反馈控制 牵制控制 

分 类 号：O231.2[理学—运筹学与控制论]