Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind

DOI10.1080/00207728608926923zbMath0598.93038OpenAlexW2067701631MaRDI QIDQ3734261

Shuh-Chuan Tsay, Tsu-Tian Lee

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207728608926923

zbMATH Keywords

bilinear systemsLinear time-varying systemsproduct operational matrixoperational matrix for integrationshifted Chebyshev polynomials of the second kind

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) 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)

Optimal control of linear time-delay systems via general orthogonal polynomials

Cites Work

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• Chebyshev series approach to system identification, analysis and optimal control
• Analysis of linear time-varying systems by shifted Legendre polynomials
• Laguerre functions in signal analysis and parameter identification
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Multiplication of Generalized Polynomials, with Applications to Classical Orthogonal Polynomials
• Analysis and optimal control of time-varying systems via Chebyshev polynomials
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Parameter identification via shifted Legendre polynomials
• Design of piecewise constant gains for optimal control via Walsh functions

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