@misc{Jauberthie_Carine_Set-membership, author={Jauberthie, Carine and Travé-Massuyes, Louise and Verdiere, Nathalie}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, [My]-SM-identifiability, and [Epsilon]-SM-identifiability, to the properties of parameter estimation problems. Soundness and [Epsilon]-consistency are proposed to characterize these problems and the solution returned by the algorithm used to solve them.}, abstract={This paper also contributes by carefully motivating and comparing SM-identifiability, [My]-SM-identifiability and [Epsilon]-SM-identifiability with related properties found in the literature, and by providing a method based on differential algebra to check these properties.}, type={artykuł}, title={Set-membership identifiability of nonlinear models and related parameter estimation properties}, keywords={identifiability, bounded uncertainty, set-membership estimation, nonlinear dynamic models}, }