Analysis of time-delay systems via shifted Chebyshev polynomials of the first and second kinds

DOI10.1080/00207728808964079zbMath0652.93029OpenAlexW1967506202MaRDI QIDQ3798539

Kanti B. Datta, B. M. Mohan

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00207728808964079

zbMATH Keywords

time-delay systemsdelay operational matrixshifted Chebyshev polynomials of first or second kind

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 problems for functional-differential equations (34K35) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Classical operational calculus (44A45)

Related Items (1)

Analysis of linear time-invariant time-delay systems via orthogonal functions

Cites Work

• Solution and Parameter Estimation in Linear Time-Invariant Delayed Systems Using Laguerre Polynomial Expansion
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• A new approach to the parameter estimation of linear time-invariant delayed systems via modified Laguerre polynomials
• Parameter Estimation of Delay Systems Via Block Pulse Functions
• Shift Walsh matrix and delay-differential equations
• Kronecker products and matrix calculus in system theory

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