Epsilon-Ritz method for solving optimal control problems: Useful parallel solution method

DOI10.1007/BF00941886zbMath0792.49001MaRDI QIDQ1321401

D. J. Stech, P. A. Frick

Publication date: 18 July 1994

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

zbMATH Keywords

optimal controlChebyshev polynomialsWalsh functionshypercubesRayleigh-Ritz methodLegendre polynomialsepsilon methodparallel solution methodstwo point boundary-value problem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving ordinary differential equations (49J15) Parallel numerical computation (65Y05)

Related Items (9)

Epsilon penalty method combined with an extension of the Ritz method for solving a class of fractional optimal control problems with mixed inequality constraints ⋮ Parallel orthogonal factorization null-space method for dynamic quadratic programming ⋮ A combination of variational and penalty methods for solving a class of fractional optimal control problems ⋮ Unnamed Item ⋮ Combination of epsilon and Ritz methods with multiscaling basis for solving a class of fractional optimal control problems ⋮ Epsilon-Ritz method for solving a class of fractional constrained optimization problems ⋮ A reliable numerical approach for analyzing fractional variational problems with subsidiary conditions ⋮ Performance of parallel shooting method for closed loop guidance of an optimal launch vehicle trajectory ⋮ A new study on delay fractional variational problems

Cites Work

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• Trigonometric approximation of optimal periodic control problems
• Design of piecewise constant gains for optimal control via Walsh functions
• An efficient algorithm for solving optimal control problems with linear terminal constraints
• Kronecker products and matrix calculus in system theory
• On a New Computing Technique in Optimal Control
• A Generalization of the Method of Balakrishnan: Inequality Constraints and Initial Conditions
• On the Walsh Functions

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