A new method for parameter identifiability of DAE systems

Abstract

A new method is proposed for analyzing the parameter identifiability of the dynamic systems described by differential-algebraic equations (DAEs). According to the features of DAEs, the proposed method uses the space transformation to eliminate the algebraic variables of the original DAE system, and derive a lower ODE system. As the parameter identifiability of the ODE system is equivalent to that of the lower DAE system, the differential algebraic (D-A) approach can be used to test the unknown parameter identifiability of the DAE system.