IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v51y2020i10p1685-1698.html
   My bibliography  Save this article

Cluster consensus of fractional-order non-linear multi-agent systems with switching topology and time-delays via impulsive control

Author

Listed:
  • Zahra Yaghoubi
  • Heidar Ali Talebi

Abstract

In this paper, a cluster consensus problem for fractional-order nonlinear multi-agent systems with fixed and switching topologies and time delays is considered. The problem is solved in three cases: (i) fixed topology and time delays, (ii) switching topology, and (iii) switching topology and time delays. Cluster consensus is achieved for fractional-order multi-agent systems by using the impulsive control method. Cluster consensus algorithms are studied by using Mittag–Leffler stability and the fractional Lyapunov direct method and some sufficient conditions are obtained to achieve cluster consensus of fractional-order multi-agent systems with nonlinear dynamics under switching topologies and time delays. Finally, simulation results are presented to show the validity of the proposed control strategies.

Suggested Citation

  • Zahra Yaghoubi & Heidar Ali Talebi, 2020. "Cluster consensus of fractional-order non-linear multi-agent systems with switching topology and time-delays via impulsive control," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(10), pages 1685-1698, July.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1685-1698
    DOI: 10.1080/00207721.2020.1772404
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2020.1772404
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2020.1772404?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.

    More about this item

    Statistics

    Access and download statistics

    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:taf:tsysxx:v:51:y:2020:i:10:p:1685-1698. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.