IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/2206419.html
   My bibliography  Save this article

The Strong Stability of Optimal Nonlinear Dynamical System in Batch Fermentation

Author

Listed:
  • Hongli Wang
  • Bing Tan
  • Xiaohua Gao
  • Enmin Feng
  • Chang Phang

Abstract

For the bio-dissimilation of glycerol to 1,3-propanediol by Klebsiella pneumoniae, the nonlinear dynamical system of the complex metabolism in microbial batch fermentation is studied in this study. Since the analytical solution and equilibrium point cannot be found for the nonlinear dynamical system of batch fermentation, the system stability cannot be analyzed using general methods. Therefore, in this study, the stability of the system is analyzed from another angle. We present the corresponding linear variational system for the solution to the nonlinear dynamical system of complex metabolism. In addition, the boundedness of fundamental matrix solutions for the linear variational system is obtained. With this in mind, strong stability with respect to the perturbation of the initial state vector is proved for the nonlinear dynamical system of the complex metabolism.

Suggested Citation

  • Hongli Wang & Bing Tan & Xiaohua Gao & Enmin Feng & Chang Phang, 2022. "The Strong Stability of Optimal Nonlinear Dynamical System in Batch Fermentation," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, November.
    • Handle: RePEc:hin:jjmath:2206419
    DOI: 10.1155/2022/2206419
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/2206419.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/2206419.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/2206419?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:jjmath:2206419. 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.