Identifiability of system: an algorithm based on the equivalence approach

Abstract

The identifiability of nonlinear uncontrolled dynamical systems is analysed by using the system equivalence based on the straightening out theorem. Previously we (2000) have stated a characterization of the identifiability by considering this approach. The so-obtained identifiability necessary condition leads to the solution of partial differential equations. On the other hand, the identifiability sufficient condition may need an extra elimination. First, we elaborate the corresponding algorithm and in justifying it by some algebraic differential notions. Then its implementation is presented in a symbolic computation language.