Parameter estimation of time-varying systems via Chebyshev polynomials of the second kind

DOI10.1080/00207728608926850zbMath0586.93012OpenAlexW2116484308MaRDI QIDQ3713920

Cheng-Chiian Liu, Yen-Ping Shih

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207728608926850

zbMATH Keywords

parameter estimationlinear time-varying systemsLeast-squares estimationChebyshev polynomials of the second kind

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 (1)

Identification of a class of continuous time-varying linear systems via block pulse functions

Cites Work

• Chebyshev series approach to system identification, analysis and optimal control
• Analysis and parameter estimation of bilinear systems via Chebyshev polynomials
• Walsh series approach to lumped and distributed system identification
• Identification of lumped linear time-varying systems via block-pulse functions
• Parameter identification via Laguerre polynomials
• Parameter identification via shifted Legendre polynomials

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