IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/1153483.html
   My bibliography  Save this article

Determining the Viability of an Unbounded Polyhedron for a Switched System

Author

Listed:
  • Jianfeng Lv
  • Na Zhao
  • Manuel De la Sen

Abstract

This paper proposes a new method to determine the viability of a switched system on a cone and an unbounded polyhedron. First, we investigate the viability condition on a cone. Then, a sufficient viability criterion for a polyhedron, which is expressed by a convex hull of finite number of extreme points and a nonnegative linear combination of finite extreme directions, is presented by using nonsmooth analysis. Based on this criterion, instead of all boundary points, just several extreme points and extreme directions are needed to be verified whether satisfying some conditions. The advantage of the proposed methods is that determining the viability for a switched system is easy to be implemented. Finally, an example is listed to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • Jianfeng Lv & Na Zhao & Manuel De la Sen, 2023. "Determining the Viability of an Unbounded Polyhedron for a Switched System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2023, pages 1-9, May.
    • Handle: RePEc:hin:jnddns:1153483
    DOI: 10.1155/2023/1153483
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/ddns/2023/1153483.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/ddns/2023/1153483.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/1153483?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:jnddns:1153483. 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.