The rank and order conditions for analysis of the local identifiability of a system of linear differential equations with parametrized matrices of state, control, and observation

摘要

The rank and order conditions previously developed far analysis of the structural local identifiability of models with unknown parameters of the state matrix are extended to a broader class of models whose observation and control matrices may contain unknown parameters. The approach proposed is shown to be especially effective for models with a state vector of large dimensions. As an illustration, the method is applied to the local identifiability analysis of a chamber model for description of the kinetics of acetylsalicylic acid.