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

DOI10.1080/00207178608933640zbMath0594.93045OpenAlexW2112436205MaRDI QIDQ3725972

Mawling Wang, Shwuyien Yang, Rongyeu Chang

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207178608933640

zbMATH Keywords

time-varying systemsoperational matricesgeneralized orthogonal polynomials

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 (6)

Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems ⋮ Solution of a scaled system via generalized orthogonal polynomials ⋮ Optimal control of Volterra integral equations via triangular functions ⋮ Non-linear systems: identification and optimal control ⋮ Solution of integral equations via generalized orthogonal polynomials ⋮ New Taylor series approach to state-space analysis and optimal control of linear systems

Cites Work

• Analysis and parameter estimation of bilinear systems via Chebyshev polynomials
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Solutions of integral equations via modified Laguerre polynomials
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• Laguerre series solution of a functional differential equation
• Parameter identification via shifted Legendre polynomials
• Solution of linear dynamic system with initial or boundary value conditions by shifted Legendre approximations
• A state-space approach to Walsh series solution of linear systems
• Analysis and optimal control of time-varying linear systems via Walsh functions
• Analysis and optimal control of time-varying linear systems via Taylor series

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