IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v51y2020i10p1733-1743.html
   My bibliography  Save this article

Properties of the stability boundary in linear distributed-order systems

Author

Listed:
  • Ehsan Majma
  • Mohammad Saleh Tavazoei

Abstract

This paper mainly focuses on some behaviours of the bounded input-bounded output (BIBO) stability boundary in the linear distributed-order system (LDOS). Finding an association between changes of weight functions of LDOS and variation of its BIBO stability boundary is the other aim of this paper. To achieve these goals, the tangential lines of the BIBO stability boundary for the extremely high and low frequencies are founded in the first step. Then, the additive identity and the multiplicative identity for the weight function maintaining the stability boundary intact are determined. In addition, it is proved that multiplying a set of multiplication factors in the form of polynomials to the weight functions would guarantee the increment of the stability region. To validate the presented results, comparisons among the stability boundary of several different LDOS are performed. Simulation outcomes are in agreement with the extracted results.

Suggested Citation

  • Ehsan Majma & Mohammad Saleh Tavazoei, 2020. "Properties of the stability boundary in linear distributed-order systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(10), pages 1733-1743, July.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1733-1743
    DOI: 10.1080/00207721.2020.1773959
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2020.1773959
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2020.1773959?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.

    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:taf:tsysxx:v:51:y:2020:i:10:p:1733-1743. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.