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System Identifiability (Symbolic Computation) and Parameter Estimation (Numerical Computation)

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Abstract

A system identification based on physical laws often involves a parameter estimation. Before performing an estimation problem, it is necessary to investigate its identifiability. This investigation leads often to painful calculations. Generally, the numerical computation of the parameters does not use these calculus. In this contribution we propose least-squares methods to link identifiability approaches with numerical parameter estimation.

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Authors and Affiliations

  1. University of Sciences and Tech. Lille, 59655, Villeneuve d'Ascq, France

    Lilianne Denis-Vidal

  2. University of Technology Compiègne, BP 20 529, 60205, Compiègne, France

    Ghislaine Joly-Blanchard & Céline Noiret

Authors
  1. Lilianne Denis-Vidal
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  2. Ghislaine Joly-Blanchard
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  3. Céline Noiret
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Denis-Vidal, L., Joly-Blanchard, G. & Noiret, C. System Identifiability (Symbolic Computation) and Parameter Estimation (Numerical Computation). Numerical Algorithms 34, 283–292 (2003). https://doi.org/10.1023/B:NUMA.0000005366.05704.88

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  • DOI: https://doi.org/10.1023/B:NUMA.0000005366.05704.88

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