Identification of time-varying nonlinear systems using Chebyshev polynomials
type: Item
instance of: scholarly article
title: Identification of time-varying nonlinear systems using Chebyshev polynomials
zbMATH Open document ID: 0802.93012
DOI: 10.1016/0377-0427(93)90142-X
author: Sergej V. Lapin
published in: Journal of Computational and Applied Mathematics
publication date: 1994-04-27T00:00:00Z
review text: A problem in identification of continuous time-varying nonlinear systems is considered, where the nonlinearities are assumed to be known and the time-variant functional parameters to be identified enter linearly into the system equations. The problem is solved by approximating the solution of the corresponding Volterra-Hammerstein integral equations by the Galerkin method using shifted Chebyshev polynomials as the basis. Numerical problems occurring in the least squares solution of the derived system of linear algebraic equations are overcome by formulation of a regularized error functional.
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 540456
zbMATH Keywords: time-dependent
reviewed by: Axel Munack
MaRDI profile type: Publication
cites work: Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
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cites work: The shifted Legend re approach to non-linear system analysis and identification
cites work: Analysis and parameter estimation of non-linear systems via shifted Chebyshev expansions
description: scientific article; zbMATH DE number 540456