Orthogonal series approach to the sensitivity analysis of linear systems

DOI10.1080/00207178708934012zbMath0626.93015OpenAlexW1985026968MaRDI QIDQ3030648

P. S. Szczepaniak

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708934012

zbMATH Keywords

orthogonal series expansionsensitivity functionslinear dynamic systems

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Linear systems in control theory (93C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Classical operational calculus (44A45)

Related Items (2)

A general orthogonal polynomial approach to the sensitivity analysis of linear systems ⋮ Sensitivity analysis of linear systems using orthogonal functions

Cites Work

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• Chebyshev series approach to system identification, analysis and optimal control
• Essential parameters in sensitivity analysis
• Trajectory sensitivity analysis using orthogonal functions
• Output sensitivity analysis using orthogonal functions
• Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials
• Double-shifted Chebyshev series for convolution integral and integral equations
• Laguerre series solution of a functional differential equation
• Matrix calculus and the sensitivity analysis of linear dynamic systems

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