IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v51y2020i5p852-877.html
   My bibliography  Save this article

Stochastic hybrid multi-links networks with mixed delays: stabilisation analysis via aperiodically adaptive intermittent control

Author

Listed:
  • Sen Li
  • Huadong Sun
  • Wenxue Li

Abstract

This paper investigates the problem of the mean square exponential stabilisation for stochastic hybrid multi-links networks with mixed delays (SHMND) via aperiodically adaptive intermittent control. Based on a new differential inequality with mixed delays and Markovian switching, two stability criteria are derived, which weakens the restriction on parameter that determines exponential convergence rate and reduces the conservativeness. The intensity of stochastic perturbations, coupling in multi-links and intermittent control gain have a great influence on these stability criteria. Different from the previous work that studying multi-links systems, we utilise Lyapunov method and the tree-cycle identity in graph theory integrating differential inequality techniques. Furthermore, the main results are applied to the stochastic hybrid multi-links oscillators with mixed delays. Finally, we give a numerical example to illustrate the effectiveness of theoretical results.

Suggested Citation

  • Sen Li & Huadong Sun & Wenxue Li, 2020. "Stochastic hybrid multi-links networks with mixed delays: stabilisation analysis via aperiodically adaptive intermittent control," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(5), pages 852-877, April.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:852-877
    DOI: 10.1080/00207721.2020.1746431
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2020.1746431
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2020.1746431?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Feng, Jiqiang & Li, Yongcai & Zhang, Yingfang & Xu, Chen, 2023. "Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

    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:5:p:852-877. 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.