A new approach for parameter identification of time-varying systems via generalized orthogonal polynomials

DOI10.1080/00207178608933699zbMath0598.93016OpenAlexW2016633141MaRDI QIDQ3734233

Mawling Wang, Rongyeu Chang, Shwuyien Yang

Publication date: 1986

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178608933699

zbMATH Keywords

parameter estimationweighted least-squares estimationgeneralized orthogonal polynomialsdifferentiation operational matrix

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Model systems in control theory (93C99) Classical operational calculus (44A45)

Related Items (6)

Model order reduction of MIMO bilinear systems by multi-order Arnoldi method ⋮ Identification of a single-variable linear time-varying system via generalized orthogonal polynomials ⋮ Double generalized orthogonal polynomial series for the solution of integral equations ⋮ Identifiability and identification of a class of parabolic distributed systems under approximation ⋮ Analysis and parameter estimation of bilinear systems via generalized orthogonal polynomials ⋮ Identification of a class of continuous time-varying linear systems via block pulse functions

Cites Work

• Unnamed Item
• Analysis and parameter estimation of bilinear systems via Chebyshev polynomials
• Parameter estimation of bilinear systems via Walsh functions
• Walsh series approach to lumped and distributed system identification
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Solutions of linear dynamic systems by generalized orthogonal polynomials
• Linear feedback system identification via block-pulse functions
• Laguerre series solution of a functional differential equation
• Analysis and parameter estimation of bilinear systems via block-pulse functions
• Explicit solutions of integral equations via block pulse functions

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