IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v451y2023ics0096300323002217.html
   My bibliography  Save this article

Asymptotical set stabilization of large-scale logical networks with stochastic delays and the application in finite-field networks

Author

Listed:
  • Chen, Haodong
  • Li, Lulu
  • Lu, Jianquan
  • Alghamdi, Sultan M

Abstract

In this paper, asymptotical set stabilization (ASS) of k-valued logical networks (KVLNs) with stochastic delays is studied by designing network-structure-based (NS-based) distributed pinning controllers (DPCs). Firstly, based on the NS-based graph method, k-valued delayed logical networks (KVDLNs) are converted into KVLNs with virtual vertices to handle the effect of stochastic delays. In addition, KVLNs with virtual vertices are transformed into the corresponding algebraic form by the semi-tensor product (STP) method. Based on the system vertices classification technique and the concept of feedback arc set (FAS), the pinning nodes set (PNS) is determined. The mode-independent and mode-dependent DPCs are designed to realize ASS of KVDLNs based on the determined PNS. Next, the obtained theoretical results are further applied to the consensus of finite-field networks (FFNs) with stochastic delays. Finally, two examples are provided to validate the theoretical results of this paper.

Suggested Citation

  • Chen, Haodong & Li, Lulu & Lu, Jianquan & Alghamdi, Sultan M, 2023. "Asymptotical set stabilization of large-scale logical networks with stochastic delays and the application in finite-field networks," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    • Handle: RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323002217
    DOI: 10.1016/j.amc.2023.128052
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300323002217
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2023.128052?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. Wang, Jianjun & Liu, Wen & Fu, Shihua & Xia, Jianwei, 2022. "On robust set stability and set stabilization of probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    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.
    1. Li, Xi & Liu, Yang & Lou, Jungang & Lu, Jianquan, 2023. "Robust minimal strong reconstructibility problem of Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 458(C).

    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:451:y:2023:i:c:s0096300323002217. 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.