IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i13p1472-d580390.html
   My bibliography  Save this article

Second-Order PDE Constrained Controlled Optimization Problems with Application in Mechanics

Author

Listed:
  • Savin Treanţă

    (Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

Abstract

The present paper deals with a class of second-order PDE constrained controlled optimization problems with application in Lagrange–Hamilton dynamics. Concretely, we formulate and prove necessary conditions of optimality for the considered class of control problems driven by multiple integral cost functionals involving second-order partial derivatives. Moreover, an illustrative example is provided to highlight the effectiveness of the results derived in the paper. In the final part of the paper, we present an algorithm to summarize the steps for solving a control problem such as the one investigated here.

Suggested Citation

  • Savin Treanţă, 2021. "Second-Order PDE Constrained Controlled Optimization Problems with Application in Mechanics," Mathematics, MDPI, vol. 9(13), pages 1-7, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1472-:d:580390
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/13/1472/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/13/1472/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Savin Treanţă, 2021. "Duality Theorems for ( ρ , ψ , d )-Quasiinvex Multiobjective Optimization Problems with Interval-Valued Components," Mathematics, MDPI, vol. 9(8), pages 1-12, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Savin Treanţă & Muhammad Bilal Khan & Tareq Saeed, 2022. "Optimality for Control Problem with PDEs of Second-Order as Constraints," Mathematics, MDPI, vol. 10(6), pages 1-7, March.

    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. Savin Treanţă & Priyanka Mishra & Balendu Bhooshan Upadhyay, 2022. "Minty Variational Principle for Nonsmooth Interval-Valued Vector Optimization Problems on Hadamard Manifolds," Mathematics, MDPI, vol. 10(3), pages 1-15, February.

    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:9:y:2021:i:13:p:1472-:d:580390. 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.