IDEAS home Printed from https://ideas.repec.org/a/hin/jnijde/173634.html
   My bibliography  Save this article

Direct Method for Resolution of Optimal Control Problem with Free Initial Condition

Author

Listed:
  • Louadj Kahina
  • Aidene Mohamed

Abstract

The theory of control analyzes the proprieties of commanded systems. Problems of optimal control (OC) have been intensively investigated in the world literature for over forty years. During this period, series of fundamental results have been obtained, among which should be noted the maximum principle (Pontryagin et al., 1962) and dynamic programming (Bellman, 1963). For many of the problems of the optimal control theory (OCT), adequate solutions are found (Bryson and Yu-chi, 1969, Lee and Markus, 1967, Gabasov and Kirillova, 1977, 1978, 1980). Results of the theory were taken up in various fields of science, engineering, and economics. The present paper aims at extending the constructive methods of Balashevich et al., (2000) that were developed for the problems of optimal control with the bounded initial state is not fixed are considered.

Suggested Citation

  • Louadj Kahina & Aidene Mohamed, 2012. "Direct Method for Resolution of Optimal Control Problem with Free Initial Condition," International Journal of Differential Equations, Hindawi, vol. 2012, pages 1-18, March.
    • Handle: RePEc:hin:jnijde:173634
    DOI: 10.1155/2012/173634
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJDE/2012/173634.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJDE/2012/173634.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/173634?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:jnijde:173634. 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.