IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v194y2022i2d10.1007_s10957-022-02036-9.html
   My bibliography  Save this article

Lagrange-Hamilton Approach in Optimization Problems with Isoperimetric-Type Constraints

Author

Listed:
  • Savin Treanţă

    (University Politehnica of Bucharest)

Abstract

This paper derives necessary optimality conditions for a certain class of optimal control problems without linearity or convexity assumptions. The optimal control problem has a general objective function of integral type and a finite number of isoperimetric type constraints. For proving the main result derived in this paper, the Lagrange function and the control Hamiltonian are introduced and an adjoint differential equation is stated. In addition, we formulate some examples where the derived necessary optimality conditions are applied.

Suggested Citation

  • Savin Treanţă, 2022. "Lagrange-Hamilton Approach in Optimization Problems with Isoperimetric-Type Constraints," Journal of Optimization Theory and Applications, Springer, vol. 194(2), pages 508-520, August.
    • Handle: RePEc:spr:joptap:v:194:y:2022:i:2:d:10.1007_s10957-022-02036-9
    DOI: 10.1007/s10957-022-02036-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-022-02036-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-022-02036-9?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. M. R. Caputo, 1998. "Economic Characterization of Reciprocal Isoperimetric Control Problems," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 325-350, August.
    2. M. R. Caputo, 1999. "Economic Characterization of Reciprocal Isoperimetric Control Problems Revisited," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 723-730, June.
    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. L. Grosset & B. Viscolani, 2006. "Reciprocal Optimal Control Problems and the Associated Pareto Frontier," Journal of Optimization Theory and Applications, Springer, vol. 130(1), pages 113-123, July.
    2. Akpalu, Wisdom & Parks, Peter J., 2007. "Natural resource use conflict: gold mining in tropical rainforest in Ghana," Environment and Development Economics, Cambridge University Press, vol. 12(1), pages 55-72, February.
    3. Akpalu, Wisdom & Vondolia, Godwin K., 2012. "Bioeconomic model of spatial fishery management in developing countries," Environment and Development Economics, Cambridge University Press, vol. 17(2), pages 145-161, April.
    4. M. R. Caputo, 1999. "Economic Characterization of Reciprocal Isoperimetric Control Problems Revisited," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 723-730, June.

    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:spr:joptap:v:194:y:2022:i:2:d:10.1007_s10957-022-02036-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.