IDEAS home Printed from https://ideas.repec.org/p/cir/cirwor/2002s-04.html
   My bibliography  Save this paper

A New Proof Of The Maximum Principle

Author

Listed:
  • Ngo Van Long
  • Koji Shimomura

Abstract

We offer a new proof of the maximum principle for optimal control problems with fixed endpoint. We allow for inequality constraints involving state variables and control variables. Our proof relies on an application of the envelope theorem. Nous donnons une preuve nouvelle du principe de maximum pour les problèmes de contrôle optimal aux points terminaux fixés. Le cas où il y a des contraintes en forme d inégalité est permis. Notre preuve utilise le théorème de l'enveloppe.

Suggested Citation

  • Ngo Van Long & Koji Shimomura, 2002. "A New Proof Of The Maximum Principle," CIRANO Working Papers 2002s-04, CIRANO.
  • Handle: RePEc:cir:cirwor:2002s-04
    as

    Download full text from publisher

    File URL: http://www.cirano.qc.ca/files/publications/2002s-04.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586, March.
    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. Caliendo Frank N. & Guo Nick L., 2014. "Optimal Control Problems with State Specific Jumps in the State Equation," Mathematical Economics Letters, De Gruyter, vol. 1(2-4), pages 1-8, July.

    More about this item

    Keywords

    Maximum Principle; Envelope Theorem; Principe de Maximum; Théorème de l'Enveloppe;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:cir:cirwor:2002s-04. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Webmaster). General contact details of provider: http://edirc.repec.org/data/ciranca.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.