IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v145y2010i1d10.1007_s10957-009-9618-0.html
   My bibliography  Save this article

Robust Transferable Sets of Linear Transferring Strategies

Author

Listed:
  • V. Y. Glizer

    (Ort Braude College)

  • V. Turetsky

    (Technion – Israel Institute of Technology)

Abstract

The problem of transferring a controlled linear system with a disturbance to a prescribed target set (a hyperplane at a prescribed time instant) is considered. The control and disturbance are subject to geometrical constraints. The original transfer problem is reduced to a scalar one. Then, for a given transferring linear feedback strategy, the respective transferable set is studied, i.e. the set of all the initial positions in the time/state plane, from which the target set is reached, respecting the control constraints, against any admissible disturbance. Necessary and sufficient conditions for the existence of the transferable set are derived, its set-theoretical properties are established, the algorithm of its boundary construction is proposed, the boundary smoothness is studied. Illustrative examples are presented.

Suggested Citation

  • V. Y. Glizer & V. Turetsky, 2010. "Robust Transferable Sets of Linear Transferring Strategies," Journal of Optimization Theory and Applications, Springer, vol. 145(1), pages 36-52, April.
    • Handle: RePEc:spr:joptap:v:145:y:2010:i:1:d:10.1007_s10957-009-9618-0
    DOI: 10.1007/s10957-009-9618-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-009-9618-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-009-9618-0?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.

    References listed on IDEAS

    as
    1. Vladimir Turetsky & Valery Y. Glizer, 2007. "Robust Solution Of A Time-Variable Interception Problem: A Cheap Control Approach," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 637-655.
    2. V. Y. Glizer & V. Turetsky, 2008. "On the Inverse Problem for Robust Capture Zone Construction," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 381-400, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:145:y:2010:i:1:d:10.1007_s10957-009-9618-0. 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.

      If CitEc recognized a bibliographic 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.

      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.