TY - GEN
T1 - Extending a sensitivity based algorithm to detect local structural identifiability
AU - van Willigenburg, L.G.
AU - Stigter, J.D.
AU - Molenaar, J.
PY - 2022/9/23
Y1 - 2022/9/23
N2 - Output sensitivities to parameters underly a highly efficient sensitivity based algorithm to compute local structural identifiability of possibly large-scale nonlinear dynamic systems. By means of simple examples, this paper explores exceptional cases where this algorithm fails. That is, if one applies the common definition of local structural identifiability. As also shown in this paper, when applying a closely related definition of identifiability, based on sensitivities, the sensitivity based algorithm always provides the correct answer. The subtle difference between these two definitions, that seems to have been overlooked in the literature, is further explored and explained in this paper. For the common definition of local structural identifiability, an extension of the sensitivity based algorithm is presented that approximately doubles the computation time. This extension is shown to work along non-singular trajectories.
AB - Output sensitivities to parameters underly a highly efficient sensitivity based algorithm to compute local structural identifiability of possibly large-scale nonlinear dynamic systems. By means of simple examples, this paper explores exceptional cases where this algorithm fails. That is, if one applies the common definition of local structural identifiability. As also shown in this paper, when applying a closely related definition of identifiability, based on sensitivities, the sensitivity based algorithm always provides the correct answer. The subtle difference between these two definitions, that seems to have been overlooked in the literature, is further explored and explained in this paper. For the common definition of local structural identifiability, an extension of the sensitivity based algorithm is presented that approximately doubles the computation time. This extension is shown to work along non-singular trajectories.
KW - Large-scale nonlinear dynamic systems
KW - Local sensitivity identifiability
KW - Local structural identifiability
KW - Sensitivity based algorithm
KW - Sensitivity rank condition (SERC)
U2 - 10.1016/j.ifacol.2022.09.119
DO - 10.1016/j.ifacol.2022.09.119
M3 - Conference paper
AN - SCOPUS:85142221668
T3 - IFAC-PapersOnline
SP - 343
EP - 348
BT - 10th Vienna International Conference on Mathematical Modelling MATHMOD 2022
A2 - Kugi, A.
A2 - Körner, A.
A2 - Kemmetmüller, W.
A2 - Deutschmann-Olek, A.
A2 - Breitenecker, F.
A2 - Troch, I.
PB - Elsevier
T2 - 10th Vienna International Conference on Mathematical Modelling, MATHMOD 2022
Y2 - 27 July 2022 through 29 July 2022
ER -