advanced
Volume 12 Issue 3
June  2015
Turn off MathJax
Article Contents
Relative Articles
Hui-Na Feng and Jun-Min Li. Distributed Adaptive Synchronization of Complex Dynamical Network with Unknown Time-varying Weights. International Journal of Automation and Computing, vol. 12, no. 3, pp. 323-329, 2015. https://doi.org/10.1007/s11633-015-0889-7
Citation: Hui-Na Feng and Jun-Min Li. Distributed Adaptive Synchronization of Complex Dynamical Network with Unknown Time-varying Weights. International Journal of Automation and Computing, vol. 12, no. 3, pp. 323-329, 2015. https://doi.org/10.1007/s11633-015-0889-7
shu

Distributed Adaptive Synchronization of Complex Dynamical Network with Unknown Time-varying Weights

doi: 10.1007/s11633-015-0889-7

  • School of Mathematics and Statistics, Xidian University, Xi'an 710071, China

Funds:

This work was supported by Ph.D. Programs Foundation of Ministry of Education of China (Nos. JY0300137002 and 20130203110021) and Research Funds for the Central Universities (No. JB142001-6)

  • Received Date: 2014-04-08
  • Rev Recd Date: 2014-10-28
  • Publish Date: 2015-06-01
    Abstract
  • A new approach of adaptive distributed control is proposed for a class of networks with unknown time-varying coupling weights. The proposed approach ensures that the complex dynamical networks achieve asymptotical synchronization and all the closed-loop signals are bounded. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible and asymptotical synchronization can be achieved even when the graph of network is not connected. Finally, a simulation example shows the feasibility and effectiveness of the approach.

     

    • FullText(HTML)
  • loading
    • References(16)
  • [1]
    S. H. Strogatz. Exploring complex networks. Nature, vol. 410, no. 6825, pp. 268-276, 2001.
    [2]
    X. F. Wang. Complex networks: Topology, dynamics and synchronization. International Journal of Bifurcation and Chaos, vol.12, no. 5, pp. 885-916. 2002.
    [3]
    F. Dörfler, F. Bullo. Exploring synchronization in complex oscillator networks. In Proceedings of the 51st IEEE Conference on Decision and Control, IEEE, Hawaii, USA, pp. 7157-7170, 2012.
    [4]
    L. Chen, J. A. Lu. Cluster synchronization in a complex dynamical network with two nonidentical clusters. Journal of Systems Science and Complexity, vol. 21, no. 1, pp. 20-33, 2008.
    [5]
    X. Y. Guo, J. M. Li. Projective synchronization of complex dynamical networks with time-varying coupling strength via hybrid feedback control. Chinese Physics Letters, vol. 28, no. 12, Article number 120503, 2011.
    [6]
    Z. H. Guan, Z. W. Liu, G. Feng, Y. W. Wang. Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control. IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 57, no. 8, pp. 2182-2195, 2010.
    [7]
    Z. K. Li, W. Ren, X. D. Liu, L. H. Xie. Distributed consensus of linear multi-agent systems with adaptive dynamic protocols. Automatica, vol. 49, no. 7, pp. 1986-1995, 2013.
    [8]
    W. W. Yu, G. R. Chen, Z. D. Wang,W. Yang. Distributed consensus filtering in sensor networks. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 39, no. 6, pp. 1568-1577, 2009.
    [9]
    W. W. Yu, G. R. Chen, W. Ren, J. Kurths, W. X. Zheng. Distributed higher order consensus protocols in multiagent dynamical systems. IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 58, no. 8, pp. 1924-1932, 2011.
    [10]
    L. Wang, H. P. Dai, X. J. Kong, Y. X. Sun. Synchronization of uncertain complex dynamical networks via adaptive control. International Journal of Robust and Nonlinear Control, vol. 19, no. 5, pp. 495-511, 2009.
    [11]
    A. Das, F. L. Lewis. Distributed adaptive control for synchronization of unknown nonlinear networked systems. Automatica, vol. 46, no. 12, pp. 2014-2021, 2010.
    [12]
    W. W. Yu, P. DeLellis, G. R. Chen, M. di Bernardo, J. Kurths. Distributed adaptive control of synchronization in complex networks. IEEE Transactions on Automatic Control, vol. 57, no. 8, pp. 2153-2158, 2012.
    [13]
    X. Y. Guo, J. M. Li. A new synchronization algorithm for delayed complex dynamical networks via adaptive control approach. Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 11, pp. 4395-4403, 2012.
    [14]
    T. F. Wang, J. M. Li, S. Tang. Adaptive synchronization of nonlinearly parameterized complex dynamical networks with unknown time-varying parameters. Mathematical Problems in Engineering, vol. 2012, Article number 592539, 2012.
    [15]
    M. Shi, J. M. Li, C. He. Synchronization of complex dynamical networks with nonidentical nodes and derivative coupling via distributed adaptive control. Mathematical Problems in Engineering, vol. 2013, Article number 172608, 2013.
    [16]
    G. Tao. A simple alternative to the Barbalat lemma. IEEE Transactions on Automatic Control, vol. 42, no. 5, pp. 698, 1997.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML
    Entire Issue PDF

    用微信扫码二维码

    分享至好友和朋友圈

    Article Metrics

    Article views (4586) PDF downloads(1236) Cited by()
    Proportional views
    Related
    Browse MIR
    Published Online Current Issue Special Issue Archive Early Access
    About MIR
    Aims and Scopes Index information Editorial Board Contact Us Springer Page

    For Authors
    Guide for Authors Submission Template Copyright Agreement
    For Referees
    Guide for Referees Referees Acknowledgement

    MIR Event
    MIR News MIR Awards
    WeChat: 机器智能研究MIR
    Twitter: MIR_Journal

    © Institute of Automation, Chinese Academy of Sciences. Published by Springer Nature and Science Press. All rights reserved. 京ICP备14019135号-25

    Supported by Beijing Renhe Information Technology Co. Ltd  support: info@rhhz.net  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return