IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v443y2023ics0096300322008384.html
   My bibliography  Save this article

Complex group consensus of multi-agent systems with cooperative-competitive mechanisms: acyclic partition method

Author

Listed:
  • Yao, Lingling
  • Xie, Dongmei
  • Wang, Han

Abstract

For multi-agent system(MAS) with cooperative-competitive mechanisms, we aim to investigate its complex group consensus such as group scaled consensus and group-bipartite scaled consensus. Firstly, for directed graph G with m closed strongly connected components (CSCCs), we show the existence and nonuniqueness of its acyclic partition by giving a CSCC-based acyclic partition strategy, where MAS is divided into m subnetworks with directed spanning trees and the condensed graph of G is a directed acyclic graph. Secondly, under the extensive in-degree balance condition for cooperative-competitive network, an appropriate distributed control protocol is designed to guarantee that MASs can achieve group/group-bipartite scaled consensus by introducing cooperative-competitive matrix and scaling parameter matrix. Furthermore, to guarantee the faster convergence of MASs, we further improve and optimize the acyclic partition strategy by rich algebra and graph theories in three aspects: the selection of sub-root nodes, the division of multi-reachable nodes and the selection of directed spanning tree in each subnetwork. Finally, some simulation examples are presented to verify the effectiveness of our results.

Suggested Citation

  • Yao, Lingling & Xie, Dongmei & Wang, Han, 2023. "Complex group consensus of multi-agent systems with cooperative-competitive mechanisms: acyclic partition method," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    • Handle: RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008384
    DOI: 10.1016/j.amc.2022.127770
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322008384
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127770?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.

    References listed on IDEAS

    as
    1. Bo Hou & Fuchun Sun & Hongbo Li & Yao Chen & Guangbin Liu, 2016. "Scaled cluster consensus of discrete-time multi-agent systems with general directed topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3839-3845, December.
    2. Xia Xiao & Xiaowu Mu, 2017. "Consensus of linear multi-agent systems with communication delays by using the information of second-order neighbours under intermittent communication topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 200-208, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:apmaco:v:443:y:2023:i:c:s0096300322008384. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

      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.