Optimal control of lumped parameter systems via shifted Legendre polynomial approximation

DOI10.1007/BF00939983zbMath0536.93032OpenAlexW1979159302MaRDI QIDQ792280

N. E. Zubov

Publication date: 1985

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939983

zbMATH Keywords

linear-quadratic optimal controloperational matrixshifted Legendre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Control/observation systems governed by ordinary differential equations (93C15) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Classical operational calculus (44A45)

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Cites Work

• Unnamed Item
• Shifted Legendre direct method for variational problems
• Method of particular solutions for linear, two-point boundary-value problems
• General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions
• Sequential gradient-restoration algorithm for optimal control problems
• Modified quasilinearization and optimal initial choice of the multipliers. II: Optimal control problems
• The computation and theory of optimal control
• Parameter identification via shifted Legendre polynomials

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