Solution of linear dynamic systems with initial or boundary value conditions by shifted Chebyshev approximations

DOI10.1080/00207728808547158zbMath0647.93031OpenAlexW1987596788MaRDI QIDQ3792572

Shuh-Chuan Tsay, Tsu-Tian Lee

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00207728808547158

zbMATH Keywords

transformationrecursive algorithmtime-invariantinitial or two-point boundary value problemsshifted Chebyshev polynomial approximation

Mathematics Subject Classification ID

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) Transformations (93B17) Classical operational calculus (44A45)

Cites Work

• Unnamed Item
• Chebyshev series approach to system identification, analysis and optimal control
• Laguerre functions in signal analysis and parameter identification
• Application of Chebyshev polynomials to the optimal control of time-varying linear systems
• 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
• Solution of linear dynamic system with initial or boundary value conditions by shifted Legendre approximations
• Design of piecewise constant gains for optimal control via Walsh functions

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