IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v53y2022i12p2612-2623.html
   My bibliography  Save this article

Stochastic stability analysis of Markovian jump systems with additive mode-dependent time-varying delays and partially known transition rates

Author

Listed:
  • Fang Liu
  • Qianyi Liu
  • Weiru Guo
  • Yong Li

Abstract

This paper focuses on the stochastic stability of the Markovian jump systems with two additive mode-dependent time-varying delays and partially known transition rates. First, a novel mode-dependent Lyapunov-Krasovskii functional (LKF) is constructed and the single integral terms in the derivative of LKF are estimated by the generalised free-weighting-matrix-based integral inequality. Then, some stability criteria in terms of linear matrix inequalities are obtained by using the convex combination technique. Finally, two numerical examples are presented to illustrate the feasibility of the proposed method.

Suggested Citation

  • Fang Liu & Qianyi Liu & Weiru Guo & Yong Li, 2022. "Stochastic stability analysis of Markovian jump systems with additive mode-dependent time-varying delays and partially known transition rates," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(12), pages 2612-2623, September.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2612-2623
    DOI: 10.1080/00207721.2021.2008043
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2021.2008043
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2021.2008043?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:53:y:2022:i:12:p:2612-2623. 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.