Reparameterisation of Unidentifiable Systems using the Taylor Series Approach

Abstract

This paper presents theory for the existence of a minimal locally identifiable reparameterisation of an unidentifiable system and is based on the Taylor series. approach of Pohjanpalo. Furthermore, a methodology is given which facilitates the construction of a reparameterisation. The reparameterisation reduces a system to its minimal form (in the sense of the number of parameters in the reparameterisation) and ensures that all the parameters are (at least) locally identifiable. The method for determining the parameter vector dimension of the minimal systems involves extending the Jacobian rank test of Pohjanpalo