A Legendre technique for solving time-varying linear quadratic optimal control problems
type: Item
instance of: scholarly article
title: A Legendre technique for solving time-varying linear quadratic optimal control problems
zbMATH Open document ID: 0824.49030
DOI: 10.1016/0016-0032(93)90092-9
author: M. Razzaghi
author: Gamal N. Elnagar
published in: Journal of the Franklin Institute
publication date: 1995-11-01T00:00:00Z
review text: The authors consider the time-varying linear-quadratic optimal control problem without constraints. They approximate the state, the control and the state and control matrices by shifted Legendre polynomials obtaining a finite-dimensional quadratic program with equality constraints. There are no assumptions concerning the continuity properties in time of the matrices defining the problem. There is no error analysis and no comparison to other methods. The two one-dimensional examples presented are not convincing.
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 90C20
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 698719
zbMATH Keywords: time-dependent
reviewed by: A. L. Dontchev
MaRDI profile type: Publication
full work available at URL: 0016-0032(93)90092-9
OpenAlex ID: W2067889093
cites work: Laguerre functions in signal analysis and parameter identification
cites work: Optimal control of linear time-varying systems via Fourier series
cites work: The shifted Legend re approach to non-linear system analysis and identification
cites work: Application of Legendre series to the optimal control of integrodifferential equations
cites work: Q5580002
cites work: Q4169836
cites work: A Chebyshev technique for solving nonlinear optimal control problems
cites work: Linear Quadratic Optimal Control Via Fourier-Based State Parameterization
cites work: Q4039908
cites work: Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials
cites work: Q5579577
description: scientific article; zbMATH DE number 698719