Planning rigid body motions using elastic curves

DOI10.1007/s00498-008-0033-0zbMath1202.49021OpenAlexW2087749198MaRDI QIDQ711618

William Holderbaum, James Douglas Biggs

Publication date: 27 October 2010

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/7309/

zbMATH Keywords

optimal controlrigid body motionelastic curveshelical motions

Mathematics Subject Classification ID

Geometric methods (93B27) Control of mechanical systems (70Q05) Control problems involving ordinary differential equations (34H05) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Variational point-obstacle avoidance on Riemannian manifolds ⋮ Integrable quadratic hamiltonians on the Euclidean group of motions ⋮ Invariant Control Systems on Lie Groups ⋮ Cost-extended control systems on Lie groups

Cites Work

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• Rigidity of integral curves of rank 2 distributions
• Curves with rational Frenet-Serret motion
• The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces
• Cubic Splines on Curved Spaces
• There is More than One Way to Frame a Curve
• Motion control of drift-free, left-invariant systems on Lie groups
• Integrable Hamiltonian systems on complex Lie groups

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