Optimal control problems on parallelizable Riemannian manifolds: theory and applications

DOI10.1051/cocv:2005026zbMath1108.49022OpenAlexW2051053922WikidataQ115334492 ScholiaQ115334492MaRDI QIDQ3416728

Raymond W. Holsapple, R. V. Iyer, David B. Doman

Publication date: 22 January 2007

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2006__12_1_1_0

zbMATH Keywords

calculus of variationsnumerical solutionmodified simple shooting methodRegular optimal controlsimple mechanical systems

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Nonlinear systems in control theory (93C10) Programming in abstract spaces (90C48) Applications of variational problems to control theory (58E25) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (3)

Neighboring extremal optimal control for mechanical systems on Riemannian manifolds ⋮ About simple variational splines from the Hamiltonian viewpoint ⋮ Shape splines and stochastic shape evolutions: A second order point of view

Cites Work

• Elastic curves as solutions of Riemannian and sub-Riemannian control problems.
• Cubic Splines on Curved Spaces
• Survey of Numerical Methods for Trajectory Optimization
• Real-time computation of feedback controls for constrained optimal control problems. part 1: Neighbouring extremals
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