Optimal control of deterministic systems via shifted Legendre polynomials

DOI10.1109/TAC.1986.1104301zbMath0586.93037OpenAlexW2155058980MaRDI QIDQ3713943

Dongher Shih, Fan-Chu Kung

Publication date: 1986

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1986.1104301

zbMATH Keywords

algorithmintegrodifferential equationsshifted Legendre polynomialssynthesis of an optimal control function

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) 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) Synthesis problems (93B50) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Classical operational calculus (44A45)

Related Items (7)

Taylor series direct method for variational problems ⋮ Optimal control of linear time-varying discrete systems via discrete Legendre orthogonal polynomials ⋮ Fourier series approach for the solution of linear two-point boundary value problems with time-varying coefficients ⋮ Solution of linear two-point boundary value problems via Fourier series and application to optimal control of linear systems ⋮ Analysis of linear time-varying systems and bilinear systems via Fourier series ⋮ Finite-time balanced truncation for linear systems via shifted Legendre polynomials ⋮ Approximate solution of the linear quadratic control problem

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