Analysis of time-varying delay systems via general orthogonal polynomials

DOI10.1080/00207178708933717zbMath0603.93034OpenAlexW2092925004MaRDI QIDQ3741520

Yih-Fong Chang, Tsu-Tian Lee

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933717

zbMATH Keywords

time-dependent

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) Model systems in control theory (93C99) Classical operational calculus (44A45)

Cites Work

• Unnamed Item
• Walsh series analysis of multi-delay systems
• A general procedure of solving the linear delay system via block pulse functions
• Solution and Parameter Estimation in Linear Time-Invariant Delayed Systems Using Laguerre Polynomial Expansion
• Analysis and parameter identification of time-delay systems via shifted Legendre polynomials
• Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
• Application of general orthogonal polynomials to the optimal control of time-varying linear systems
• Shift Walsh matrix and delay-differential equations

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