Analysis and parameter identification of linear systems via Chebyshev polynomials of the second kind

DOI10.1080/00207728508926710zbMath0568.93029OpenAlexW2069654530MaRDI QIDQ3686572

Cheng-Chiian Liu, Yen-Ping Shih

Publication date: 1985

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728508926710

zbMATH Keywords

Chebyshev polynomials of the second kindParameter identificationoperational matrix for integration

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 (3)

A robust approach for identification of linear lumped systems using Hermite polynomials ⋮ Piecewise linear polynomial functions and applications to analysis and parameter identification ⋮ Numerical solution of a moving-boundary problem with variable latent heat

Cites Work

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• Chebyshev series approach to system identification, analysis and optimal control
• Laguerre operational matrices for fractional calculus and applications
• Parameter identification via shifted Legendre polynomials

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