 Some effective approaches to check the identifiability of uncontrolled nonlinear systemsLilianne Denis-Vidal, Ghislaine Joly-Blanchard and Céline Noiret Mathematics and Computers in Simulation (MATCOM), 2001, vol. 57, issue 1, 35-44 Abstract: 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. Keywords: Uncontrolled nonlinear system; Structural (global and local) identifiability; Differential algebra; Power series expansion; Biological applications (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:57:y:2001:i:1:p:35-44 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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