IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-981-4585-33-0_4.html
   My bibliography  Save this book chapter

On 0-Controllability and Pursuit Problems for Linear Discrete Systems Under Total Constraints on Controls

In: International Conference on Mathematical Sciences and Statistics 2013

Author

Listed:
  • Atamurat Kuchkarov

    (Institute of Mathematics)

  • Gafurjan Ibragimov

    (Universiti Putra Malaysia, Institute for Mathematical Research)

  • Akmal Sotvoldiev

    (Institute of Mathematics)

Abstract

We consider linear discrete control and pursuit game problems. Control vectors are subjected to total constraints, which are discrete analogues of the integral constraint. By definition, (i) the control system is 0-controllable on the whole if there is a control such that the state of the system z(t) = 0 at some step t, (ii) pursuit can be completed if there exists a strategy of the pursuer such that for any strategy of the evader the state of the system y(t) = 0. We obtained sufficient condition for equivalence of 0-controllability and completion of the game from any initial position of the space.

Suggested Citation

  • Atamurat Kuchkarov & Gafurjan Ibragimov & Akmal Sotvoldiev, 2014. "On 0-Controllability and Pursuit Problems for Linear Discrete Systems Under Total Constraints on Controls," Springer Books, in: Adem Kilicman & Wah June Leong & Zainidin Eshkuvatov (ed.), International Conference on Mathematical Sciences and Statistics 2013, edition 127, pages 31-36, Springer.
    • Handle: RePEc:spr:sprchp:978-981-4585-33-0_4
    DOI: 10.1007/978-981-4585-33-0_4
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-981-4585-33-0_4. 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.