<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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, 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 with related properties found in the literature, and by providing a method based on differential algebra to check these properties.</p></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, 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 with related properties found in the literature, and by providing a method based on differential algebra to check these properties.

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

LAAS-CNRS University of Toulouse, UPS, 7 avenue du Colonel Roche, 31400 Toulouse,

UNIHAVRE, LMAH Normandy University, FR-CNRS-3335, ISCN, 76600 Le Havre,

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Article Category: Individual Article Information

Published Online: Dec 30, 2016

Page range: 803 - 813

Received: Mar 10, 2016

Accepted: Aug 28, 2016

DOI: https://doi.org/10.1515/amcs-2016-0057

© by Carine Jauberthie

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.