IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/4157256.html
   My bibliography  Save this article

Stability Analysis of Delayed Genetic Regulatory Networks via a Relaxed Double Integral Inequality

Author

Listed:
  • Fu-Dong Li
  • Qi Zhu
  • Hao-Tian Xu
  • Lin Jiang

Abstract

Time delay arising in a genetic regulatory network may cause the instability. This paper is concerned with the stability analysis of genetic regulatory networks with interval time-varying delays. Firstly, a relaxed double integral inequality, named as Wirtinger-type double integral inequality (WTDII), is established to estimate the double integral term appearing in the derivative of Lyapunov-Krasovskii functional with a triple integral term. And it is proved theoretically that the proposed WTDII is tighter than the widely used Jensen-based double inequality and the recently developed Wiringter-based double inequality. Then, by applying the WTDII to the stability analysis of a delayed genetic regulatory network, together with the usage of useful information of regulatory functions, several delay-range- and delay-rate-dependent (or delay-rate-independent) criteria are derived in terms of linear matrix inequalities. Finally, an example is carried out to verify the effectiveness of the proposed method and also to show the advantages of the established stability criteria through the comparison with some literature.

Suggested Citation

  • Fu-Dong Li & Qi Zhu & Hao-Tian Xu & Lin Jiang, 2017. "Stability Analysis of Delayed Genetic Regulatory Networks via a Relaxed Double Integral Inequality," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-16, November.
    • Handle: RePEc:hin:jnlmpe:4157256
    DOI: 10.1155/2017/4157256
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2017/4157256.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2017/4157256.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/4157256?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:jnlmpe:4157256. 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.