6533b7d2fe1ef96bd125ea5a

RESEARCH PRODUCT

New Results on Identifiability of Nonlinear Systems

Jean-paul GauthierEric Busvelle

subject

Discrete mathematicsPure mathematicsNonlinear systemInfinitesimalIdentifiabilityObservabilityEquivalence (measure theory)Mathematics

description

Abstract In this paper, we recall definition of identifiability of nonlinear systems. We prove equivalence between identifiability and smooth identifiability. This new result justifies our definition of identifiability. In a previous paper (Busvelle and Gauthier, 2003), we have established that • If the number of observations is three or more, then, systems are generically identifiable. • If the number of observations is 1 or 2, then the situation is reversed. Identifiability is not at all generic. Also, we have completely classified infinitesimally identifiable systems in the second case, and in particular, we gave normal forms for identifiable systems. Here, we will give similar results in the first case.

https://doi.org/10.1016/s1474-6670(17)30528-1