IDEAS home Printed from https://ideas.repec.org/a/hin/complx/9450786.html
   My bibliography  Save this article

Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump

Author

Listed:
  • Yanbo Li
  • Chao-Yang Chen
  • Chengqun Li

Abstract

This paper deals with the problem of stochastic stability for a class of neutral distributed parameter systems with Markovian jump. In this model, we only need to know the absolute maximum of the state transition probability on the principal diagonal line; other transition rates can be completely unknown. Based on calculating the weak infinitesimal generator and combining Poincare inequality and Green formula, a stochastic stability criterion is given in terms of a set of linear matrix inequalities (LMIs) by the Schur complement lemma. Because of the existence of the neutral term, we need to construct Lyapunov functionals showing more complexity to handle the cross terms involving the Laplace operator. Finally, a numerical example is provided to support the validity of the mathematical results.

Suggested Citation

  • Yanbo Li & Chao-Yang Chen & Chengqun Li, 2020. "Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump," Complexity, Hindawi, vol. 2020, pages 1-8, February.
    • Handle: RePEc:hin:complx:9450786
    DOI: 10.1155/2020/9450786
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2020/9450786.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2020/9450786.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/9450786?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:complx:9450786. 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.