Solution of a periodic optimal control problem by asymptotic series
type: Item
instance of: scholarly article
title: Solution of a periodic optimal control problem by asymptotic series
zbMATH Open document ID: 0586.49018
DOI: 10.1007/BF00938212
author: R. T. Evans
author: C. H. Chuang
author: Jason L. Speyer
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: In order to understand the numerical behavior of a certain class of periodic optimal control problems, a relatively simple problem is posed. The complexity of the extremal paths is uncovered by determining an analytic approximation to the solution by using the Lindstedt-Poincaré asymptotic series expansion. The key to obtaining this series is in the proper choice of the expansion parameter. The resulting expansion is essentially a harmonic series in which, for small values of the expansion parameter and a few terms of the series, excellent agreement with the numerical solution is obtained. A reasonable approximation of the solution is achieved for a relatively large value of the expansion parameter.
Mathematics Subject Classification ID: 49M99
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 3940097
zbMATH Keywords: periodic optimal control
zbMATH Keywords: Lindstedt-Poincaré asymptotic series expansion
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3940097