An Algebraic Approach to Identifiability

• Main Authors: Daniel Gerbet, Klaus Röbenack
• Format: Article
• Language: English
• Published: MDPI AG 2021-08-01
• Series: Algorithms
• Subjects: identification; identifiability; observability; polynomial dynamical systems; algebraic methods; Lie derivative
• Online Access: https://www.mdpi.com/1999-4893/14/9/255
• ISSN: 1999-4893

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