IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v44y2013i10p1843-1856.html
   My bibliography  Save this article

Practical consensus for high-order linear time-invariant swarm systems with interaction uncertainties, time-varying delays and external disturbances

Author

Listed:
  • Xiwang Dong
  • Jianxiang Xi
  • Zongying Shi
  • Yisheng Zhong

Abstract

Practical consensus problems for general high-order linear time-invariant swarm systems with interaction uncertainties and time-varying external disturbances on directed graphs are investigated in this article. A dynamic consensus protocol with non-uniform time-varying delays is adopted to deal with the practical consensus problem. Using state space decomposition, practical consensus problems of a swarm system are converted into stability problems of a disagreement subsystem. Based on the Lyapunov–Krasovskii functional approach and the linear matrix inequality technique, sufficient conditions for swarm systems to achieve practical consensus are proposed where the time-varying external disturbance can be in L2 or L∞. Numerical simulations are presented to demonstrate theoretical results.

Suggested Citation

  • Xiwang Dong & Jianxiang Xi & Zongying Shi & Yisheng Zhong, 2013. "Practical consensus for high-order linear time-invariant swarm systems with interaction uncertainties, time-varying delays and external disturbances," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(10), pages 1843-1856.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1843-1856
    DOI: 10.1080/00207721.2012.670296
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2012.670296
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2012.670296?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:44:y:2013:i:10:p:1843-1856. 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.