期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2016
卷号：26
期号：4
DOI：10.1515/amcs-2016-0057
出版社：De Gruyter Open
摘要：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.
