Global Identifiability of Differential Models. Issue 9 (17th June 2020)

• Record Type: Journal Article
• Authors: Hong, Hoon; Ovchinnikov, Alexey; Pogudin, Gleb; Yap, Chee
• Is Part Of: Communications on pure and applied mathematics. Volume 73:Issue 9(2020:Sep.)
• Page Start: 1831
• Page End: 1879
• Publication Date: 2020-06-17
• Subjects: Mathematics -- Periodicals; Mechanics -- Periodicals; Mathématiques -- Périodiques; Mécanique -- Périodiques; 510.5
• DOI: 10.1002/cpa.21921
• Languages: English
• ISSNs: 0010-3640

Abstract

Abstract : Many real‐world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a parameter is globally identifiable if it can be uniquely recovered from input and output data. The main contribution of this paper is to provide theory, an algorithm, and software for deciding global identifiability. First, we rigorously derive an algebraic criterion for global identifiability (this is an analytic property), which yields a deterministic algorithm. Second, we improve the efficiency by randomizing the algorithm while guaranteeing the probability of correctness. With our new algorithm, we can tackle problems that could not be tackled before. A software based on the algorithm (called SIAN) is available at https://github.com/pogudingleb/SIAN . © 2020 Wiley Periodicals LLC