IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/6687006.html
   My bibliography  Save this article

Averaged Control Problems Governed by a Semilinear Distributed Systems

Author

Listed:
  • Rabie Zine
  • Hamed Ould Sidi
  • Younes Louartassi
  • Maawiya Ould Sidi
  • Dimitri Mugnai

Abstract

In this work, we consider the regional averaged controllability (RAC) problem governed by a class of semilinear hyperbolic systems. We start by giving the definitions of the exact and approximate RAC systems. After that, we state the problem of RAC for semilinear systems. We propose two methods of solution: using a condition of the analytical operator to the nonlinear part of the system to characterize the optimal control via the fixed point theorem and the Hilbert Uniqueness Method (HUM) with an asymptotic condition on the nonlinear part to find the optimal control of the considered problem. Finally, we present a numerical example to show the effectiveness of the main results.

Suggested Citation

  • Rabie Zine & Hamed Ould Sidi & Younes Louartassi & Maawiya Ould Sidi & Dimitri Mugnai, 2023. "Averaged Control Problems Governed by a Semilinear Distributed Systems," Journal of Mathematics, Hindawi, vol. 2023, pages 1-9, May.
    • Handle: RePEc:hin:jjmath:6687006
    DOI: 10.1155/2023/6687006
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2023/6687006.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2023/6687006.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/6687006?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
    ---><---

    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:hin:jjmath:6687006. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.