Analysis and optimal control of linear time-varying systems via general orthogonal polynomials

DOI10.1080/00207728708967137zbMath0622.93038OpenAlexW2035614587MaRDI QIDQ3760380

Shuh-Chuan Tsay, Tsu-Tian Lee

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207728708967137

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

Related Items (5)

Dimension reduction for second-order systems by general orthogonal polynomials ⋮ Approximation of nonlinear functionals via general orthogonal polynomials and application to control problems ⋮ New approach to analysis and optimal control of time-varying systems via Taylor series ⋮ Structure-preserving model order reduction based on Laguerre–SVD for coupled systems ⋮ VLSI implementation of state-space equation solver

Cites Work

• Unnamed Item
• Chebyshev series approach to system identification, analysis and optimal control
• Shifted-Jacobi series analysis of linear optimal control systems incorporating observers
• Laguerre series direct method for variational problems
• The special functions and their approximations. Vol. I, II
• Application of Chebyshev polynomials to the optimal control of time-varying linear systems
• Analysis and optimal control of time-varying systems via Chebyshev polynomials
• Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials

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