Creator:
Jauberthie, Carine ; Travé-Massuyes, Louise ; Verdiere, Nathalie
Contributor:
Korbicz, Józef - red. ; Uciński, Dariusz - red.
Title:
Set-membership identifiability of nonlinear models and related parameter estimation properties
Group publication title:
Subject and Keywords:
identifiability ; bounded uncertainty ; set-membership estimation ; nonlinear dynamic models
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. ; 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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Type:
DOI:
Pages:
Source:
AMCS, volume 26, number 4 (2016) ; click here to follow the link