复杂网络牵制控制概述  

An overview on pinning control of complex networks

作　　者：曹进德 宋强 刘芳[3,4] 程尊水 CAO Jinde;SONG Qiang;LIU Fang;CHENG Zunshui(School of Mathematics,Southeast University,Nanjing 210096;School of Electrical Engineering,Nantong University,Nantong 226019;School of Information Engineering,Huanghuai University,Zhumadian 463000;Henan International Joint Laboratory of Behavior Optimization Control for Smart Robots,Zhumadian 463000;School of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061)

机构地区：[1]东南大学数学学院,南京210096 [2]南通大学电气工程学院,南通226019 [3]黄淮学院信息工程学院,驻马店463000 [4]河南省智能机器人行为优化控制国际联合实验室,驻马店463000 [5]青岛科技大学数理学院,青岛266061

出　　处：《南京信息工程大学学报（自然科学版）》2020年第1期22-30,I0005-I0007,共12页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(61833005,61973177,61773155);河南省科技攻关计划(182102410067,182102310625);河南省群体机器人协同控制创新型科技团队项目。

摘　　要：本文回顾了十多年来复杂网络牵制控制的研究进展,对复杂网络现有的牵制控制算法进行了归纳分类,然后基于网络拓扑及节点动力学特性讨论了网络牵制控制的一些必要或充分条件.针对牵制控制下的复杂网络,重点论述了牵制节点的选取策略,综合分析了牵制节点个数、耦合强度、牵制控制增益及节点动力学等因素对复杂网络牵制控制的影响,讨论了具有合作竞争关系符号网络牵制控制的进展,并简要介绍了复杂网络牵制控制的一些应用前景.最后,就复杂网络牵制控制将来的研究方向提了一些建议及展望.This paper presents an overview on the studies of pinning control for complex networks over the past decade.Firstly,we summarize the pinning control algorithms for synchronizing complex networks.Then,based on network topology and node dynamics,some necessary or sufficient conditions for the pinning control of complex networks are discussed.For the pinning-controlled complex networks,we address the strategies for selecting the pinned nodes in detail,and comprehensively analyze the effects of the pinned-node number,the coupling strength,the pinning feedback gains and the node dynamics on the pinning control of complex networks.Moreover,we discuss the progress in the pinning control of signed networks where exist both cooperative and competitive relationships and provide some brief introduction for the application of the pinning control of complex networks.Finally,some suggestions are given to address the future research trends for the pinning control of complex networks.

关 键 词：复杂网络 牵制控制 牵制节点 牵制控制增益 耦合强度 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231.5[自动化与计算机技术—控制科学与工程]