Solution of a scaled system via generalized orthogonal polynomials

DOI10.1080/00207728708967193zbMath0628.93035OpenAlexW2171008724MaRDI QIDQ3765645

Rongyeu Chang, Mawling Wang, Shwuyien Yang

Publication date: 1987

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728708967193

zbMATH Keywords

functional differential equationsoperational matrixTaylor power seriesGeneralized orthogonal polynomialsscaled system

Mathematics Subject Classification ID

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 functional relations other than differential equations (such as hybrid and switching systems) (93C30) Classical operational calculus (44A45)

Cites Work

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• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Walsh operational matrices for fractional calculus and their application to distributed systems
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• Solution of functional differential equations via generalized block pulse functions
• Analysis and optimal control of time-varying systems via generalized orthogonal polynomials
• Solutions of linear dynamic systems by generalized orthogonal polynomials
• Block pulse series analysis of scaled systems
• Walsh stretch matrices and functional differential equations
• Explicit solutions of integral equations via block pulse functions
• Solution of a functional differential equation via delayed unit step functions
• On a Functional Differential Equation

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