Autor:
Jauberthie, Carine ; Travé-Massuyes, Louise ; Verdiere, Nathalie
Współtwórca:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Tytuł:
Set-membership identifiability of nonlinear models and related parameter estimation properties
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Typ zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 26, number 4 (2016) ; kliknij tutaj, żeby przejść