Structural Identifiability of Linear, Bilinear, Polynomial and Rational Systems

Abstract

Deterministic identifiability of some finite-dimensional dynamical systems is studied using the concept of structural invariants. The concept provides an unifying approach, gathering the apparently diverse problems and methods into a general theory. As examples, results are applied to linear and bilinear systems and one minor ambiquity concerning linear models is corrected. A finite condition is given for testing zero-input identifiability of quadratic systems. The condition also enables one to study polynomial and rational systems.