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4th IFAC Symposium on System, Structure and Control (2010)

DOI: 10.3182/20100915-3-it-2017.00062

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Identification of Time-Non Local Models under Diffusive Representation

Journal article published in 2010 by Céline Casenave
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

In this paper, we show how the so-called diffusive representation can be used in order to identify nonlinear Volterra models of the form H(∂t)X = f (u, X) + v. Several methods are described, all being based on a suitable parameterization of H(∂t) by means of its γ-symbol. Following this idea, the complex dynamic nature of H(∂t) can be summarized by a few parameters on which the identification of the dynamic part of the model will focus. For illustration, we implement the methods on a concrete numerical example.