Pinning-Controllability Analysis of Complex Networks: An M-Matrix Approach

被引：133

作者：

Song, Qiang ^{[1
,2
]}

Liu, Fang ^{[3
]}

Cao, Jinde ^{[4
]}

Yu, Wenwu ^{[4
,5
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Elect & Informat, Hangzhou 310018, Zhejiang, Peoples R China

[2] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China

[3] Huanghuai Univ, Sch Informat Engn, Huanghuai 463000, Henan, Peoples R China

[4] Southeast Univ, Dept Math, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China

[5] RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2012年 / 59卷 / 11期

基金：

美国国家科学基金会; 高等学校博士学科点专项科研基金;

关键词：

Complex network; directed spanning tree; M-matrix; pinning-controllability; synchronization; DYNAMICAL NETWORKS; SYSTEMS; SYNCHRONIZATION; CONSENSUS; TOPOLOGIES; BOUNDS;

D O I：

10.1109/TCSI.2012.2190573

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents a systematic framework to analyze the global pinning-controllability of general complex networks with or without time-delay based on the properties of M-matrices and directed spanning trees. Some stability criteria are established to guarantee that a network can be globally asymptotically pinned to a homogenous state. By partitioning the interaction diagraph into a minimum number of components, a selective pinning scheme for a complex network with arbitrary topology is proposed to determine the number and the locations of the pinned nodes. In particular, this paper deeply investigates the roles of network nodes in the pinning control, including what kind of nodes should be pinned and what kind of nodes may be left unpinned. Numerical simulations are given to verify the theoretical analysis.

引用

页码：2692 / 2701

页数：10

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