An Algebraic Approach to Identifiability

This paper addresses the problem of identifiability nonlinear polynomial state-space systems. Such systems have already been studied via input-output equations, a description that, in general, requires differential algebra. The authors use different algebraic approach, which is based on distinguishability and observability. Employing techniques from geometry such as ideals Gröbner bases, local well global results are derived. methods illustrated some example