|Title||A fast algorithm to assess local structural identifiability|
|Author(s)||Stigter, J.D.; Molenaar, Jaap|
|Source||Automatica 58 (2015). - ISSN 0005-1098 - p. 118 - 124.|
Biometris (WU MAT)
|Publication type||Refereed Article in a scientific journal|
|Keyword(s)||Identifiability - Parameter identification|
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.