Optimal Expansions Of Discrete-time Volterra Models Using Laguerre Functions

dc.creatorCampello R.J.G.B.
dc.creatorFavier G.
dc.creatorDo Amaral W.C.
dc.date2004
dc.date2015-06-26T14:23:34Z
dc.date2015-11-26T14:12:01Z
dc.date2015-06-26T14:23:34Z
dc.date2015-11-26T14:12:01Z
dc.date.accessioned2018-03-28T21:12:36Z
dc.date.available2018-03-28T21:12:36Z
dc.identifier
dc.identifierAutomatica. , v. 40, n. 5, p. 815 - 822, 2004.
dc.identifier51098
dc.identifier10.1016/j.automatica.2003.11.016
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-1642276131&partnerID=40&md5=eebac21f3e8dbb2dc33952344a337ce1
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/94203
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/94203
dc.identifier2-s2.0-1642276131
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1241880
dc.descriptionThis work is concerned with the optimization of Laguerre bases for the orthonormal series expansion of discrete-time Volterra models. The aim is to minimize the number of Laguerre functions associated with a given series truncation error, thus reducing the complexity of the resulting finite-dimensional representation. Fu and Dumont (IEEE Trans. Automatic Control 38(6) (1993) 934) indirectly approached this problem in the context of linear systems by minimizing an upper bound for the error resulting from the truncated Laguerre expansion of impulse response models, which are equivalent to first-order Volterra models. A generalization of the work mentioned above focusing on Volterra models of any order is presented in this paper. The main result is the derivation of analytic strict global solutions for the optimal expansion of the Volterra kernels either using an independent Laguerre basis for each kernel or using a common basis for all the kernels. © 2003 Elsevier Ltd. All rights reserved.
dc.description40
dc.description5
dc.description815
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dc.languageen
dc.publisher
dc.relationAutomatica
dc.rightsfechado
dc.sourceScopus
dc.titleOptimal Expansions Of Discrete-time Volterra Models Using Laguerre Functions
dc.typeArtículos de revistas


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