IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v98y1998i3d10.1023_a1022692227722.html
   My bibliography  Save this article

Games of Simple Pursuit and Approach on a Two-Dimensional Cone

Author

Listed:
  • A. A. Melikyan

    (Russian Academy of Sciences)

  • N. V. Ovakimyan

    (National Academy of Sciences)

  • L. L. Harutiunian

    (Yerevan State University)

Abstract

The complete solution of two differential games with simple motion on a two-dimensional cone is presented. The method of generalized (singular) characteristics is used for the analysis of singular paths. The level lines of the game value and optimal phase portrait are constructed, and the latter is shown to include several types of singular surfaces (dispersal, equivocal, universal). An algorithm is developed for the construction of the synthesis for both players and is used in computer simulation.

Suggested Citation

  • A. A. Melikyan & N. V. Ovakimyan & L. L. Harutiunian, 1998. "Games of Simple Pursuit and Approach on a Two-Dimensional Cone," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 515-543, September.
    • Handle: RePEc:spr:joptap:v:98:y:1998:i:3:d:10.1023_a:1022692227722
    DOI: 10.1023/A:1022692227722
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1022692227722
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1022692227722?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Atamurat Kuchkarov & Gafurjan Ibragimov & Massimiliano Ferrara, 2016. "Simple Motion Pursuit and Evasion Differential Games with Many Pursuers on Manifolds with Euclidean Metric," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-8, August.

    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:98:y:1998:i:3:d:10.1023_a:1022692227722. 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: 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.