Title :
Identifiability and estimation of nonlinear models: A distribution framework
Author :
Denis-Vidal, Lilianne ; Joly-Blanchard, Ghislaine ; Verdiere, Nathalie
Author_Institution :
UFR Math, Univ. Sci. & Tech. Lille, Villeneuve-d´Ascq, France
Abstract :
An original method, based on distribution theory, is presented in this paper for analyzing identifiability of some nonlinear models. Then, it is shown how this analysis can be used for a parameter estimation. Our purpose is supported by examples and an application in the pharmacokinetic domain, and some comparisons with other methods are done.
Keywords :
estimation theory; nonlinear control systems; parameter estimation; distribution framework; distribution theory; nonlinear model estimation; nonlinear model identifiability; parameter estimation; pharmacokinetic domain; Algebra; Estimation; Mathematical model; Nonlinear systems; Parameter estimation; Polynomials;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
