Identifiability of Differential-Algebraic Equations

Codes for parameter identifiability analysis of models described by differential-algebraic equations (DAE).

License

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

The full text of the GNU General Public License can be found in the file "LICENSE.txt".

Usage

The following codes are direct implementations of the parameter identifiability analysis conducted for the DAE systems studied in Ref. [1].

• main_idft_chemicalreactor : Analysis of the identifiability of parameter Tc of a chemical reactor model for different types of measurement signals (sensors). See the Supplementary Material file suppmaterial_git.pdf for a discussion of this example.

• main_idft_pendulum : Analysis of the identifiability of different combinations of parameters of a pendulum equation.

• main_idft_linearDAE.m: Analysis of the identifiability of a linear DAE model.

• DAEobsvmatrix : Function that computes the observability matrix of a DAE model.

The above codes are dependent on the following functions:

• DAE models : Folder contains implementations of the DAEs for the systems investigated in Ref. [1], which are used for numerical integration.
• sym2str : Converts symbolic variables to string variables.

References

1. A. N. Montanari, F. Lamoline, R. Bereza, J. Goncalves. Identifiability of differential-algebraic equations. Under review (2023).