IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i10p2295-d1147214.html
   My bibliography  Save this article

Distributed Finite-Time and Fixed-Time Nash Equilibrium Seeking for Non-Cooperative Game with Input Saturation

Author

Listed:
  • Dong Wang

    (College of Engineering, China University of Petroleum—Beijing at Karamay, Karamay 834000, China)

  • Zhenzhen Gao

    (College of Engineering, China University of Petroleum—Beijing at Karamay, Karamay 834000, China)

  • Long Sheng

    (College of Engineering, China University of Petroleum—Beijing at Karamay, Karamay 834000, China)

Abstract

In this paper, a modified distributed Nash equilibrium seeking problem with input saturation has been investigated. The payoff function of each player is related to the communication topology, which is closer to the actual scenes. The sigmoid function is utilized to limit the range of the input. Through the network communication between players and the gradient of the players’ payoff functions, the finite-time and fixed-time distributed Nash equilibrium seeking protocols with input saturation are given. Using the Lyapunov stability analysis, it is determined that the action of each player converges to the Nash equilibrium if all the players update their action according to the proposed algorithms. The numerical simulations are also provided to testify the algorithms.

Suggested Citation

  • Dong Wang & Zhenzhen Gao & Long Sheng, 2023. "Distributed Finite-Time and Fixed-Time Nash Equilibrium Seeking for Non-Cooperative Game with Input Saturation," Mathematics, MDPI, vol. 11(10), pages 1-16, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2295-:d:1147214
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/10/2295/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/10/2295/
    Download Restriction: no
    ---><---

    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:11:y:2023:i:10:p:2295-:d:1147214. 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: 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.