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Elsevier, Automatica, 10(47), p. 2273-2278

DOI: 10.1016/j.automatica.2011.08.007

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Time-local formulation and identification of implicit Volterra models by use of diffusive representation

Journal article published in 2011 by Céline Casenave
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We present a time-continuous identification method for nonlinear dynamic Volterra models of the form HX=f(u,X)+vHX=f(u,X)+v with HH, a causal convolution operator. It is mainly based on a suitable parameterization of HH deduced from the so-called diffusive representation, which is devoted to state representations of integral operators. Following this approach, the complex dynamic nature of HH can be summarized by a few numerical parameters on which the identification of the dynamic part of the model will focus. The method is validated on a physical numerical example.