Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Chebyshev approximations

DOI10.1016/0016-0032(90)90025-EzbMath0714.49032WikidataQ126772200 ScholiaQ126772200MaRDI QIDQ750880

Mehdi Razzaghi, Mohsen Razzaghi

Publication date: 1990

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

zbMATH Keywords

two-point boundary value problemquadratic costlinear time- varying systemsshifted Chebyshev series

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear optimal control problems (49N05)

Related Items (7)

Optimal control of singular systems via piecewise linear polynomial functions ⋮ Linear quadratic optimal control problems via shifted Legendre state parametrization ⋮ A discrete Taylor series method for the solution of two-point boundary-value problems ⋮ Identification of nonlinear differential equations via Fourier series operational matrix for repeated integration ⋮ Unnamed Item ⋮ Optimal control of singular systemsVIAlegendre series ⋮ Application of Legendre series to the control problems governed by linear parabolic equations.

Cites Work

• Optimal control of lumped parameter systems via shifted Legendre polynomial approximation
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• Solution of two-point-boundary-value problems by generalized orthogonal polynomials and application to optimal control of lumped and distributed parameter systems
• Solution of linear two-point boundary-value problems via shifted Chebyshev series
• Fourier series direct method for variational problems
• Analysis and optimal control of time-varying linear systems via block-pulse functions
• A computational solution for the matrix riccati equation using laplace transforms
• Design of piecewise constant gains for optimal control via Walsh functions

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