Recherche

Recherche simple

Recherche avancée

Panier électronique

Votre panier ne contient aucune notice

Connexion à la base

Identification

(Identifiez-vous pour accéder aux fonctions de mise à jour. Utilisez votre login-password de courrier électronique)

Entrepôt OAI-PMH

Soumettre une requête

	Consulter la notice détaillée
	Version complète en ligne
	Version complète en ligne accessible uniquement depuis l'Ircam
	Ajouter la notice au panier
	Retirer la notice du panier

English version

(full translation not yet available)

Liste complète des articles

Consultation des notices

Vue détaillée

Vue Refer

Vue Labintel

Vue BibTeX

%0 Journal Article
%A Hélie, Thomas
%A Laroche, Béatrice
%T Computation of convergence bounds for Volterra series of linear analytic single input systems
%D 2011
%B IEEE Transactions on Automatic Control
%V 56
%N 9
%P 2062-2072
%F Helie10b
%K Nonlinear systems
%K Volterra series
%K convergence
%K guaranteed error
%X In this paper, the Volterra series decomposition of a class of single-input time-invariant systems, analytic in state and affine in input, is analyzed. Input-to-state convergence results are obtained for several typical norms (L^infty([0,T]), L^infty(R+) as well as exponentially weighted norms). From the standard recursive construction of Volterra kernels, new estimates of the kernel norms are derived. The singular inversion theorem is then used to obtain the main result of the paper, namely, an easily computable bound of the convergence radius. Guaranteed error bounds for the truncated series are also provided. The relevance of the method is illustrated in several examples.
%1 1
%2 3
%U http://articles.ircam.fr/textes/Helie10b/