基于网络核心体的复杂网络控制分析  

ANALYSIS OF COMPLEX NETWORKS CONTROL BASED ON CORE

作　　者：王媛媛 袁正中 赵琛[4,5] Wang Yuanyuan;Yuan Zhengzhong;Zhao Chen(Department of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China;Fujian Key Laboratory of Data Science and Statistics(Minnan Normal University),Zhangzhou 363000,China;Institute of Meteorological Big Data-Digital Fujian(Minnan Normal University),Zhangzhou 363000,China;College of Computer and Cyber Security,Hebei Normal University,Shijiazhuang 050024,China;Hebei Key Laboratory of Network and Information Security,Shijiazhuang 050024,China)

机构地区：[1]闽南师范大学数学与统计学院,漳州363000 [2]闽南师范大学数据科学与统计福建省高校重点实验室,漳州363000 [3]闽南师范大学数字福建气象大数据研究所,漳州363000 [4]河北师范大学计算机与网络空间安全学院,石家庄050024 [5]河北省网络与信息安全重点实验室,石家庄050024

出　　处：《动力学与控制学报》2021年第5期65-69,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(61603174,61703136);福建省自然科学基金资助项目(2018J01550,2017J05012);河北省自然科学基金资助项目(F2017205064)。

摘　　要：针对无向网络实际控制问题,提出了一种有效设置控制输入矩阵,从而完成网络控制的方法.该方法表明,在一定条件下,对网络控制核心体实施控制即可控制整个网络.实例检验了理论分析的结果,表明该理论的正确性和可行性.该项研究揭示了无向网络中重要结构对整个网络的支配作用,为控制大型复杂网络提供了一个有效的方法.Aiming at actual control of undirected networks,an effective method of setting the input matrix is proposed to completely control the network.This method shows that under certain conditions,the entire network can be controlled through controlling the network core only.The theoretical results are further verified by an illustrative example,which demonstrates the correctness and feasibility of theoretical conclusions.This study reveals the dominated role played by important structures in undirected networks and provides an effective method for controlling complex networks.

关 键 词：无向网络 网络叶子 网络可控性 

分 类 号：O157.5[理学—数学]