IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/948147.html
   My bibliography  Save this article

Upper Bounds for the Distance between a Controllable Switched Linear System and the Set of Uncontrollable Ones

Author

Listed:
  • Josep Clotet
  • M. Dolors Magret

Abstract

The set of controllable switched linear systems is an open and dense set in the space of all switched linear systems. Therefore it makes sense to compute the distance from a controllable system to the nearest uncontrollable one. In the case of a standard system, , R. Eising, D. Boley, and W. S. Lu obtain some results for this distance, both in the complex and real cases. In this work we explore this distance, for switched linear systems in the real case, obtaining upper bounds for it. The main contribution of the paper is to prove that a natural generalization of the upper bound obtained by D. Boley and W. S. Lu is true in the case of switched linear systems.

Suggested Citation

  • Josep Clotet & M. Dolors Magret, 2013. "Upper Bounds for the Distance between a Controllable Switched Linear System and the Set of Uncontrollable Ones," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, May.
    • Handle: RePEc:hin:jnlmpe:948147
    DOI: 10.1155/2013/948147
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/948147.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/948147.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/948147?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:jnlmpe:948147. 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.