Name
Title | ||
|---|---|---|
Set-membership identifiability of nonlinear models and related parameter estimation properties. |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1515/amcs-2016-0057 | Applied Mathematics and Computer Science |
Keywords | Field | DocType |
identifiability, bounded uncertainty, set-membership estimation, nonlinear dynamic models | Mathematical optimization,Well-defined,Nonlinear system,Identifiability,Control theory,Differential algebra,Soundness,Estimation theory,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 4 | 1641-876X |
Citations | PageRank | References |
0 | 0.34 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Carine Jauberthie | 1 | 25 | 7.36 |
| L. Travé/-massuyè/s | 2 | 394 | 54.06 |
| Nathalie Verdière | 3 | 6 | 4.03 |