IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v461y2016icp833-839.html
   My bibliography  Save this article

Determination of configuration matrix element and outer synchronization among networks with different topologies

Author

Listed:
  • Lü, Ling
  • Liu, Shuo
  • Li, Gang
  • Zhao, Guannan
  • Gu, Jiajia
  • Tian, Jing
  • Wang, Zhouyang

Abstract

In this paper, we research the outer synchronization among discrete networks with different topologies. Based on Lyapunov theorem, a novel synchronization technique is designed. Further, the control inputs of the networks and the adaptive laws of configuration matrix element are obtained. In the end, a numerical example is given to illustrate the effectiveness of the synchronization technique. It is found that the designed control input of the networks ensures the convergence of the errors among the networks to zero. And the designed adaptive law of configuration matrix element can replace effectively configuration matrix element in networks.

Suggested Citation

  • Lü, Ling & Liu, Shuo & Li, Gang & Zhao, Guannan & Gu, Jiajia & Tian, Jing & Wang, Zhouyang, 2016. "Determination of configuration matrix element and outer synchronization among networks with different topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 833-839.
    • Handle: RePEc:eee:phsmap:v:461:y:2016:i:c:p:833-839
    DOI: 10.1016/j.physa.2016.06.057
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116303259
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2016.06.057?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Wenlin & Gebremariam, Tesfay & Li, Chong & Song, Heshan, 2017. "Synchronization effect for uncertain quantum networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 621-627.
    2. Geng, Liang & Xiao, Renbin, 2017. "Outer synchronization and parameter identification approach to the resilient recovery of supply network with uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 407-421.

    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:eee:phsmap:v:461:y:2016:i:c:p:833-839. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.