Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/65710
Type: Artigo de periódico
Title: Euler discretization and inexact restoration for optimal control
Author: Kaya, CY
Martinez, JM
Abstract: A computational technique for unconstrained optimal control problems is presented. First, an Euler discretization is carried out to obtain a finite-dimensional approximation of the continuous-time (infinite-dimensional) problem. Then, an inexact restoration (IR) method due to Birgin and Martinez is applied to the discretized problem to find an approximate solution. Convergence of the technique to a solution of the continuous-time problem is facilitated by the convergence of the IR method and the convergence of the discrete (approximate) solution as finer subdivisions are taken. The technique is numerically demonstrated by means of a problem involving the van der Pol system; comprehensive comparisons are made with the Newton and projected Newton methods.
Subject: optimal control
inexact restoration
Euler discretization
projected Newton method
Lagrange multiplier update
Country: EUA
Editor: Springer/plenum Publishers
Rights: fechado
Identifier DOI: 10.1007/s10957-007-9217-x
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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