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Diffusive Identification of Volterra Models by Cancellation of the Nonlinear Term

Céline Casenave 1 Gérard Montseny 1 
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : We present a new identification method for nonlinear Volterra models of the form H(dt)X=F(u,X)+v with H(dt) a causal convolution operator. It is based first on a suitable parameterization of H(dt) deduced from the so-called diffusive representation, devoted to state representations of integral operators, and second on a suitable operatorial transformation of the problem with the property that the nonlinear term F(u,X) is cancelled, allowing to identify the operator H(dt) alone. Then, the nonlinear term can be identified from standard regression methods. For illustration, we implement this method on a concrete numerical example.
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Céline Casenave, Gérard Montseny. Diffusive Identification of Volterra Models by Cancellation of the Nonlinear Term. 15th IFAC Symposium on System Identification, SYSID 2009, Jul 2009, Saint-Malo, France. pp.640-645, ⟨10.3182/20090706-3-FR-2004.00106⟩. ⟨hal-01061517⟩



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