Topology identification of multi-weighted complex networks based on adaptive synchronization: A graph-theoretic approach

被引:19
作者
Yao, Xupan [1 ]
Xia, Dan [1 ]
Zhang, Chunmei [1 ]
机构
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
基金
中国国家自然科学基金;
关键词
graph-theoretic approach; Lyapunov stability; multi-weights; stochastic complex networks; stochastic ordinary differential equations; topology identification; FINITE-TIME SYNCHRONIZATION; DYNAMICAL NETWORKS; SYSTEMS; NOISE;
D O I
10.1002/mma.6857
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper aims to identify the topological structures of multi-weighted complex networks (MWCN) with and without time delay based on adaptive synchronization. First, by using the concept of drive-response synchronization, one takes the MWCN as a drive system and introduces the adaptive controller and white noise in the response system to get stochastic MWCN. Then, drive system and response system achieve synchronization by combining graph theory, Lyapunov stability theory, and adaptive control technique. At the same time, the uncertain multiple topological structures of drive system can be identified by response system based on adaptive synchronization. Furthermore, topological structures of MWCN with time delay are also successfully identified. Finally, numerical simulations for the identification of coupled chaotic systems are provided to verify the effectiveness of theoretical results.
引用
收藏
页码:1570 / 1584
页数:15
相关论文
共 46 条
  • [1] Production of the Exotic 1-- Hadrons φ(2170), X(4260), and Yb(10890) at the LHC and Tevatron via the Drell-Yan Mechanism
    Ali, Ahmed
    Wang, Wei
    [J]. PHYSICAL REVIEW LETTERS, 2011, 106 (19)
  • [2] Research on urban public traffic network with multi-weights based on single bus transfer junction
    An Xin-lei
    Zhang Li
    Zhang Jian-gang
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 436 : 748 - 755
  • [3] Synchronization analysis of complex networks with multi-weights and its application in public traffic network
    An Xin-lei
    Zhang Li
    Li Yin-zhen
    Zhang Jian-gang
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 412 : 149 - 156
  • [4] Synchronization: An Obstacle to Identification of Network Topology
    Chen, Liang
    Lu, Jun-an
    Tse, Chi K.
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (04) : 310 - 314
  • [5] Fridman E., 2014, INTRO TIME DELAY SYS, DOI DOI 10.1007/978-3-319-09393-2
  • [6] Topology Identification and Learning Over Graphs: Accounting for Nonlinearities and Dynamics
    Giannakis, Georgios B.
    Shen, Yanning
    Karanikolas, Georgios Vasileios
    [J]. PROCEEDINGS OF THE IEEE, 2018, 106 (05) : 787 - 807
  • [7] Huang Y, 2020, COMMUN NONL SCI NUME, V1052, P89
  • [8] Jia Y, 2020, APPL MATH COMPUT, V1249, P370
  • [9] Estimating the bounds for the Lorenz family of chaotic systems
    Li, DM
    Lu, JA
    Wu, XQ
    Chen, GR
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 23 (02) : 529 - 534
  • [10] Global-stability problem for coupled systems of differential equations on networks
    Li, Michael Y.
    Shuai, Zhisheng
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (01) : 1 - 20