IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i14p2258-d1438985.html
   My bibliography  Save this article

One-Bit Function Perturbation Impact on Robust Set Stability of Boolean Networks with Disturbances

Author

Listed:
  • Lei Deng

    (Research Center of Semi-Tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, China)

  • Xiujun Cao

    (Research Center of Semi-Tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, China)

  • Jianli Zhao

    (Research Center of Semi-Tensor Product of Matrices: Theory and Applications, School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, China)

Abstract

This paper investigates the one-bit function perturbation (OBFP) impact on the robust set stability of Boolean networks with disturbances (DBNs). Firstly, the dynamics of these networks are converted into the algebraic forms utilizing the semi-tensor product (STP) method. Secondly, OBFP’s impact on the robust set stability of DBNs is divided into two situations. Then, by constructing a state set and defining an index vector, several necessary and sufficient conditions to guarantee that a DBN under OBFP can stay robust set stable unchanged are provided. Finally, a biological example is proposed to demonstrate the effectiveness of the obtained theoretical results.

Suggested Citation

  • Lei Deng & Xiujun Cao & Jianli Zhao, 2024. "One-Bit Function Perturbation Impact on Robust Set Stability of Boolean Networks with Disturbances," Mathematics, MDPI, vol. 12(14), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2258-:d:1438985
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/14/2258/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/14/2258/
    Download Restriction: no
    ---><---

    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).
    2. K. R. Achu Govind & Subhasish Mahapatra & Soumya Ranjan Mahapatro, 2024. "Enhanced decentralised fractional-order control using tree seed optimisation and singular value analysis," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(7), pages 1437-1464, May.
    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. 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).
    2. 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:gam:jmathe:v:12:y:2024:i:14:p:2258-:d:1438985. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.