Solution algorithms for non-linear singularly perturbed optimal control problems

DOI10.1002/OCA.4660040403zbMath0525.49019OpenAlexW2044292017MaRDI QIDQ3040009

Mark Ardema

Publication date: 1983

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.4660040403

zbMATH Keywords

Newton methodsaveraging methodPicard methodexpansion methodnonlinear singularly perturbed optimal controltwo-point boundary-value problems with a small parameter in the derivatives

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Newton-type methods (49M15) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear systems in control theory (93C10) Nonlinear ordinary differential equations and systems (34A34) Averaging method for ordinary differential equations (34C29) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Asymptotically Equivalent Singular Perturbation Problems

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