Identification of Time-non local Models under Diffusive Representation

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.