IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v57y2001i1p35-44.html
   My bibliography  Save this article

Some effective approaches to check the identifiability of uncontrolled nonlinear systems

Author

Listed:
  • Denis-Vidal, Lilianne
  • Joly-Blanchard, Ghislaine
  • Noiret, Céline

Abstract

The problem of identifiability of parameters has hardly ever been considered in the case of uncontrolled systems whereas many efficient methods have been developed for controlled systems. In this paper, we are pointing out two procedures to get global identifiability results of uncontrolled nonlinear systems. The first one derives from an algorithm proposed by Ljung and Glad. It is based on differential algebra and its complexity, due to the system size, does not increase as fast as the complexity of their algorithm. The second one is a heuristic approach. It builds a new model from various input datasets which expresses an experimental reality. Therefore, we will analyze the identifiability of this new model. Indeed, this procedure has been tested on an intricate system for which the other methods failed and it has given global identifiability results.

Suggested Citation

  • Denis-Vidal, Lilianne & Joly-Blanchard, Ghislaine & Noiret, Céline, 2001. "Some effective approaches to check the identifiability of uncontrolled nonlinear systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(1), pages 35-44.
    • Handle: RePEc:eee:matcom:v:57:y:2001:i:1:p:35-44
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475401002749
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Verdière, Nathalie & Manceau, David & Zhu, Shousheng & Denis-Vidal, Lilianne, 2020. "Inverse problem for a coupling model of reaction-diffusion and ordinary differential equations systems. Application to an epidemiological model," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    2. Alejandro F. Villaverde, 2019. "Observability and Structural Identifiability of Nonlinear Biological Systems," Complexity, Hindawi, vol. 2019, pages 1-12, January.

    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:eee:matcom:v:57:y:2001:i:1:p:35-44. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.