Analysis of linear time-varying systems by shifted Legendre polynomials

DOI10.1016/0016-0032(84)90015-2zbMath0544.93048OpenAlexW2082396519MaRDI QIDQ797550

Mingjong Tsai, Fan-Chu Kung, Cha'o-Kuang Chen

Publication date: 1984

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(84)90015-2

zbMATH Keywords

least-squares methodshifted Legendre polynomials expansion

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) Model systems in control theory (93C99)

Related Items (4)

Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind ⋮ Analysis of linear time-varying systems and bilinear systems via Taylor series ⋮ Analysis and parameter identification of scaled systems via polynomial series ⋮ Analysis of linear time-varying systems and bilinear systems via Fourier series

Cites Work

• Shifted Legendre direct method for variational problems
• Laguerre series direct method for variational problems
• Solution of linear state-space equations and parameter estimation in feedback systems using Laguerre polynomial expansion
• A Walsh series direct method for solving variational problems
• Model reduction by Chebyshev polynomial techniques
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Laguerre operational matrices for fractional calculus and applications
• Solution of state-space equations via block-pulse functions
• Analysis and optimal control of time-varying linear systems via Walsh functions
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