Optimal control of linear time-delay systems via general orthogonal polynomials

DOI10.1080/00207728808547195zbMath0636.93037OpenAlexW2024138232MaRDI QIDQ3777888

Shuh-Chuan Tsay, I. Long Wu, Tsu-Tian Lee

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00207728808547195

zbMATH Keywords

Padé approximationgeneral orthogonal polynomialslinear time-delay system

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) Padé approximation (41A21) Control problems for functional-differential equations (34K35) Classical operational calculus (44A45)

Related Items (1)

A novel approach for the numerical investigation of optimal control problems containing multiple delays

Cites Work

• Unnamed Item
• Shifted-Jacobi series analysis of linear optimal control systems incorporating observers
• Near-optimum design of nonstationary linear systems with state and control delays
• The special functions and their approximations. Vol. I, II
• 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
• Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Parameter identification via Laguerre polynomials
• Design of piecewise constant gains for optimal control via Walsh functions

This page was built for publication: Optimal control of linear time-delay systems via general orthogonal polynomials