A comparative study of the operational matrices of integration and differentiation for orthogonal polynomial series

DOI10.1080/00207178508933387zbMath0586.93025OpenAlexW2036631159MaRDI QIDQ3713934

Spyridon George Mouroutsos, Panagiotis Demetriou Sparis

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00207178508933387

zbMATH Keywords

orthogonal polynomiallinear time- invariant differential equationsoperational matrices of integration and differentiation

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) 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
• Parameter identification via Laguerre polynomials