dc.creatorCampello, RJGB
dc.creatordo Amaral, WC
dc.creatorFavier, G
dc.date2006
dc.dateAPR
dc.date2014-11-15T08:40:39Z
dc.date2015-11-26T16:10:05Z
dc.date2014-11-15T08:40:39Z
dc.date2015-11-26T16:10:05Z
dc.date.accessioned2018-03-28T22:58:42Z
dc.date.available2018-03-28T22:58:42Z
dc.identifierAutomatica. Pergamon-elsevier Science Ltd, v. 42, n. 4, n. 689, n. 693, 2006.
dc.identifier0005-1098
dc.identifierWOS:000236340300018
dc.identifier10.1016/j.automatica.2005.12.003
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/76513
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/76513
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/76513
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1266783
dc.descriptionThis work tackles the problem of expanding Volterra models using Laguerre functions. A strict global optimal solution is derived when each multidimensional kernel of the model is decomposed into a set of independent orthonormal bases, each of which parameterized by an individual Laguerre pole intended for representing the dominant dynamic of the kernel along a particular dimension. It is proved that the solution derived minimizes the upper bound of the squared norm of the error resulting from the practical truncation of the Laguerre series expansion into a finite number of function,. This is an extension of the results in Campello, Favier and Amaral [(2004). Optimal expansions of discrete-time Volterra models using Laguerre functions. Automatica, 40, 815-822], where an optimal solution was obtained for the usual yet particular case in which a single Laguerre pole is used for expanding a given kernel along all its dimensions. It is also proved that the particular and extended solutions are equivalent to each other when the Volterra kernels are symmetric. (c) 2006 Elsevier Ltd. All rights reserved.
dc.description42
dc.description4
dc.description689
dc.description693
dc.languageen
dc.publisherPergamon-elsevier Science Ltd
dc.publisherOxford
dc.publisherInglaterra
dc.relationAutomatica
dc.relationAutomatica
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectnon-linear systems
dc.subjectVolterra series
dc.subjectLaguerre functions
dc.subjectoptimization
dc.subjectmodel reduction
dc.subjectTime-scale
dc.subjectSystems
dc.subjectFilters
dc.subjectIdentification
dc.subjectApproximations
dc.subjectChoice
dc.titleA note on the optimal expansion of Volterra models using Laguerre functions
dc.typeArtículos de revistas


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