Identification of Time-Non Local Models under Diffusive Representation

International audienceIn this paper, we show how the so-called diffusive representation can be used in order to identify nonlinear Volterra models of the form H(dt)X=f(u,X)+v. Several methods are described, all being based on a suitable parameterization of H(dt) by means of its gamma-symbol. Following this idea, the complex dynamic nature of H(dt) 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