Chebyshev series approach to linear systems sensitivity analysis

DOI10.1016/0016-0032(87)90021-4zbMath0614.93018OpenAlexW2060675416MaRDI QIDQ1820737

Yanyan Li

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0016-0032(87)90021-4

zbMATH Keywords

linear systemsChebyshev polynomialstime-invariantsensitivity functions

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) 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) Control/observation systems governed by ordinary differential equations (93C15) Classical operational calculus (44A45)

Related Items (6)

A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation ⋮ A general orthogonal polynomial approach to the sensitivity analysis of linear systems ⋮ Fourier series approach for the solution of linear two-point boundary value problems with time-varying coefficients ⋮ Solution of linear two-point boundary value problems via Fourier series and application to optimal control of linear systems ⋮ A new orthogonal series approach to sensitivity analysis ⋮ A new orthogonal series approach to state-space analysis and identification

Cites Work

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• Chebyshev series approach to system identification, analysis and optimal control
• Piecewise constant orthogonal functions and their application to systems and control
• Solution of linear state-space equations and parameter estimation in feedback systems using Laguerre polynomial expansion
• Output sensitivity analysis using orthogonal functions
• Analysis and optimal control of time-varying systems via Chebyshev polynomials
• Legendre series approach to identification and analysis of linear systems

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