Korbicz, Józef - red. ; Uciński, Dariusz - red.
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 26, number 4 (2016) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-05-22
2024-05-22
8
https://zbc.uz.zgora.pl/repozytorium/publication/89045
Nazwa wydania | Data |
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Set-membership identifiability of nonlinear models and related parameter estimation properties | 2024-05-22 |
Duzinkiewicz, Kazimierz Korbicz, Józef - red. Uciński, Dariusz - red.
Amairi, Messaoud Korbicz, Józef - red. Uciński, Dariusz - red.
Verdiere, Nathalie Denis-Vidal, Lilianne Joly-Blanchard, Ghislaine Domurado, Dominique Beliczyński, Bartłomiej - red.
Saadni, Mohammed Salah Chaabane, Mohammed Mehdi, Driss Korbicz, Józef - red. Uciński, Dariusz - red.
Khapalov, Alexander Korbicz, Józef - red. Uciński, Dariusz - red.
Hakem, Assia Cocquempot, Vincent Pekpe, Komi Midzodzi Korbicz, Józef - red. Uciński, Dariusz - red.