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Identification of Nonlinear Volterra Models by means of Diffusive Representation

Abstract We introduce a new identification method for nonlinear Volterra models of the form ***Hx = f ( u, x ) with H a causal convolution operator. It is mainly based on a suitable parameterization of H deduced from the so-called diffusive representation, devoted to state representations of integral operators. Following this approach, the complex dynamic nature of H can be summarized by a few numerical parameters on which the identification of the dynamic part of the model will focus. For illustration, we implement this method on a concrete numerical example.