IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v44y2013i1p178-186.html
   My bibliography  Save this article

Necessary and sufficient conditions for mean square consensus under Markov switching topologies

Author

Listed:
  • Guoying Miao
  • Shengyuan Xu
  • Yun Zou

Abstract

This article deals with the mean square consensus problem for second-order discrete-time multi-agent systems. Both cases of systems with and without time delays in Markov switching topologies are considered. With the introduced control protocols, necessary and sufficient conditions for mean square consensus of second-order multi-agent systems are derived. Under the given control protocols in Markov switching topologies, the second-order multi-agent systems can reach mean square consensus if and only if each union of the graphs corresponding to all the nodes in closed sets has a spanning tree. Finally, a simulation example is provided to illustrate the effectiveness of our theoretical results.

Suggested Citation

  • Guoying Miao & Shengyuan Xu & Yun Zou, 2013. "Necessary and sufficient conditions for mean square consensus under Markov switching topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 178-186.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:178-186
    DOI: 10.1080/00207721.2011.598961
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2011.598961
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2011.598961?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. Dmitry Vengertsev & Hongkeun Kim & Jin Heon Seo & Hyungbo Shim, 2015. "Consensus of output-coupled high-order linear multi-agent systems under deterministic and Markovian switching networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1790-1799, July.
    2. Kun Deng & Dayu Huang, 2015. "Optimal Kullback–Leibler approximation of Markov chains via nuclear norm regularisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 2029-2047, August.
    3. Shang, Yilun, 2016. "Consensus seeking over Markovian switching networks with time-varying delays and uncertain topologies," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1234-1245.
    4. Zhihai Wu & Li Peng & Linbo Xie & Jiwei Wen, 2015. "Stochastic bounded consensus tracking of second-order multi-agent systems with measurement noises based on sampled-data with general sampling delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(3), pages 546-561, February.
    5. Yilun Shang, 2015. "Group consensus of multi-agent systems in directed networks with noises and time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(14), pages 2481-2492, October.

    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:1:p:178-186. 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.