Application of Chebyshev polynomials to the optimal control of time-varying linear systems

DOI10.1080/0020718508961115zbMath0555.93024OpenAlexW2078716433MaRDI QIDQ3220424

Ing-Rong Horng, Jyh-Horng Chou

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/0020718508961115

zbMATH Keywords

shifted Chebyshev polynomialsbackward integrationlinear time-varying optimal control system

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Control/observation systems governed by ordinary differential equations (93C15) Model systems in control theory (93C99) Classical operational calculus (44A45)

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Cites Work

• Chebyshev series approach to system identification, analysis and optimal control
• Laguerre functions in signal analysis and parameter identification
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Laguerre operational matrices for fractional calculus and applications
• Parameter identification via shifted Legendre polynomials
• Design of piecewise constant gains for optimal control via Walsh functions
• Analysis and optimal control of time-varying linear systems via Walsh functions

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