Some effective approaches to check the identifiability of uncontrolled nonlinear systems
The problem of identifiability of parameters has hardly ever been considered in the case of uncontrolled systems whereas many efficient methods have been developed for controlled systems. In this paper, we are pointing out two procedures to get global identifiability results of uncontrolled nonlinear systems. The first one derives from an algorithm proposed by Ljung and Glad. It is based on differential algebra and its complexity, due to the system size, does not increase as fast as the complexity of their algorithm. The second one is a heuristic approach. It builds a new model from various input datasets which expresses an experimental reality. Therefore, we will analyze the identifiability of this new model. Indeed, this procedure has been tested on an intricate system for which the other methods failed and it has given global identifiability results.
Year of publication: |
2001
|
---|---|
Authors: | Denis-Vidal, Lilianne ; Joly-Blanchard, Ghislaine ; Noiret, CĂ©line |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 57.2001, 1, p. 35-44
|
Publisher: |
Elsevier |
Subject: | Uncontrolled nonlinear system | Structural (global and local) identifiability | Differential algebra | Power series expansion | Biological applications |
Saved in:
Online Resource
Saved in favorites
Similar items by subject
-
An optimization of Seidenberg's elimination algorithm in differential algebra
Boulier, F., (1996)
-
Algebraic change-point detection
Fliess, Michel, (2010)
- More ...