IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v55y2024i14p3017-3031.html
   My bibliography  Save this article

Observer-based leader-following cluster consensus for positive multi-agent systems with input time-varying delay

Author

Listed:
  • R. Sakthivel
  • A. Parivallal
  • Oh-Min Kwon
  • S. Manickavalli

Abstract

This work aims to analyse the cluster consensus for positive multi-agent systems (MASs) with nonlinearities. This study focuses on introducing an observer-based controller with the aim of achieving cluster consensus in the considered positive nonlinear MASs, where the controller includes time-varying delay. Specifically in cluster consensus, agents are divided into multiple clusters to accomplish various collective tasks, each influenced by distinct inter-cluster and intra-cluster communications. In this study, a fixed directed graph is employed to express the communication among agents. By designing a proper Lyapunov-Krasovskii functional and utilising the properties of graph, a set of conditions required for cluster consensus of the examined MASs is established as linear matrix inequalities. Finally, the effectiveness of the derived theoretical findings is confirmed through numerical examples.

Suggested Citation

  • R. Sakthivel & A. Parivallal & Oh-Min Kwon & S. Manickavalli, 2024. "Observer-based leader-following cluster consensus for positive multi-agent systems with input time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(14), pages 3017-3031, October.
    • Handle: RePEc:taf:tsysxx:v:55:y:2024:i:14:p:3017-3031
    DOI: 10.1080/00207721.2024.2364294
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2024.2364294
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2024.2364294?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:55:y:2024:i:14:p:3017-3031. 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.