IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v29y2018i05ns0129183118400016.html
   My bibliography  Save this article

A novel method of topology identification for general complex dynamical networks with incomplete measurements

Author

Listed:
  • Xinwei Wang

    (College of Automation, Nanjing University of Posts and Telecommunications, No. 9, Wenyuan Road, Nanjing, Jiangsu 210023, P. R. China)

  • Guo-Ping Jiang

    (College of Automation, Nanjing University of Posts and Telecommunications, No. 9, Wenyuan Road, Nanjing, Jiangsu 210023, P. R. China)

  • Xu Wu

    (College of Automation, Nanjing University of Posts and Telecommunications, No. 9, Wenyuan Road, Nanjing, Jiangsu 210023, P. R. China)

Abstract

Recovering the topological structure of a general complex dynamical network with the incomplete measurements of transmitted drive states is investigated in this paper. The incomplete measurements, which cannot be ignored, have not been well considered in topology identification issue. Different from previous studies, we propose a novel method which can handle the situation of incomplete measurements well. The proposed method can fix the excessive deviation of the controller caused by the incomplete measurements, and overcome the special restrictions on the node dynamics raised by the previous methods. By means of LaSalle’s invariance principle, mathematical derivation of the mechanism is deduced rigorously to obtain the sufficient criteria in the form of linear matrix inequalities. Numerical simulations with the complex dynamical network composed of chaotic dynamical nodes are given to illustrate the effectiveness of our proposed method.

Suggested Citation

  • Xinwei Wang & Guo-Ping Jiang & Xu Wu, 2018. "A novel method of topology identification for general complex dynamical networks with incomplete measurements," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-14, May.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:05:n:s0129183118400016
    DOI: 10.1142/S0129183118400016
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183118400016
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183118400016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:05:n:s0129183118400016. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.