IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i8p802-d531643.html
   My bibliography  Save this article

Invariant Geometric Curvilinear Optimization with Restricted Evolution Dynamics

Author

Listed:
  • Andreea Bejenaru

    (Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

Abstract

This paper begins with a geometric statement of constraint optimization problems, which include both equality and inequality-type restrictions. The cost to optimize is a curvilinear functional defined by a given differential one-form, while the optimal state to be determined is a differential curve connecting two given points, among all the curves satisfying some given primal feasibility conditions. The resulting outcome is an invariant curvilinear Fritz–John maximum principle. Afterward, this result is approached by means of parametric equations. The classical single-time Pontryagin maximum principle for curvilinear cost functionals is revealed as a consequence.

Suggested Citation

  • Andreea Bejenaru, 2021. "Invariant Geometric Curvilinear Optimization with Restricted Evolution Dynamics," Mathematics, MDPI, vol. 9(8), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:802-:d:531643
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/8/802/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/8/802/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nico Tauchnitz, 2015. "The Pontryagin Maximum Principle for Nonlinear Optimal Control Problems with Infinite Horizon," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 27-48, October.
    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. Emmanuelle Augeraud-Véron & Raouf Boucekkine & Vladimir Veliov, 2019. "Distributed Optimal Control Models in Environmental Economics: A Review," AMSE Working Papers 1902, Aix-Marseille School of Economics, France.
    2. Alejandra Fonseca-Morales & Onésimo Hernández-Lerma, 2018. "Potential Differential Games," Dynamic Games and Applications, Springer, vol. 8(2), pages 254-279, June.
    3. Upmann, Thorsten & Uecker, Hannes & Hammann, Liv & Blasius, Bernd, 2021. "Optimal stock–enhancement of a spatially distributed renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 123(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:9:y:2021:i:8:p:802-:d:531643. 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.