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Set-membership identifiability of nonlinear models and related parameter estimation properties

Abstract : Identifiability guarantees that the mathematical model of a dynamic system is well-defined in the sense that it maps unam-biguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely SM-identifiability, µ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-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, µ-SM-identifiability and ε-SM-identifiability to related properties found in the literature and by providing a method based on Differential Algebra to check these properties.
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Submitted on : Wednesday, November 21, 2018 - 11:31:48 PM
Last modification on : Tuesday, October 25, 2022 - 11:58:11 AM
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Carine Jauberthie, Louise Travé-Massuyès, Nathalie Verdière. Set-membership identifiability of nonlinear models and related parameter estimation properties. International Journal of Applied Mathematics and Computer Science, 2016, 26 (4), pp.803-813. ⟨10.1515/amcs-2016-0057⟩. ⟨hal-01701564⟩



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