IDEAS home Printed from https://ideas.repec.org/a/aio/rteyej/v1y2010i15p107-114.html
   My bibliography  Save this article

A Study On Control Affine Systems With Positive Homogeneous Cost And No Constant Rank Of Distribution

Author

Listed:
  • Assoc. Prof. Popescu Liviu Ph.D

    (University of Craiova Faculty of Economics and Business Administration Craiova, Romania)

Abstract

The paper deals with the study of a drift less control affine system with positive homogeneous cost of Randers type in the case of bracket generating distribution of no constant rank. We use the Pontryagin Maximum Principle in order to find the general solution. In the particular case of quadratic cost the optimal trajectories of the distributional system are the geodesics of the so called sub-Riemannian geometry.

Suggested Citation

  • Assoc. Prof. Popescu Liviu Ph.D, 2010. "A Study On Control Affine Systems With Positive Homogeneous Cost And No Constant Rank Of Distribution," Revista Tinerilor Economisti (The Young Economists Journal), University of Craiova, Faculty of Economics and Business Administration, vol. 1(15), pages 107-114, November.
  • Handle: RePEc:aio:rteyej:v:1:y:2010:i:15:p:107-114
    as

    Download full text from publisher

    File URL: http://feaa.ucv.ro/RTE/015-13.pdf
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    drift less control affine system; positive homogeneous cost; Pontryagin maximum principle.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

    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:aio:rteyej:v:1:y:2010:i:15:p:107-114. 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: Ionascu Costel (email available below). General contact details of provider: https://edirc.repec.org/data/fecraro.html .

    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.