A fast algorithm to assess local structural identifiability

The paper presents a novel method for assessing the local structural identifiability question for a general non-linear state-space model. The method is a combination of (i) the application of a singular value decomposition to a parametric output sensitivity matrix that is created by simply integrati...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 58; pp. 118 - 124
Main Authors Stigter, Johannes D., Molenaar, Jaap
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2015
Subjects
Identifiability
Parameter identification
Parameter identification
Identifiability
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ISSN0005-1098
1873-2836
DOI10.1016/j.automatica.2015.05.004

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Summary:The paper presents a novel method for assessing the local structural identifiability question for a general non-linear state-space model. The method is a combination of (i) the application of a singular value decomposition to a parametric output sensitivity matrix that is created by simply integrating the model once and, (ii) a symbolic computation for a reduced model that is guided by the SVD results and allows a confirmation of the conclusions regarding identifiability obtained in the first step. In case there is a lack of identifiability, the symbolic computation quickly results in determination of the exact structure of the nullspace and a suitable re-parametrisation. The method is discussed in detail and applied to three case studies, of which the last two are considerably large, containing 22 and 43 parameters to be identified, respectively.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2015.05.004