Rolling Problems on Spaces of Constant Curvature

DOI10.1007/978-3-540-73890-9_17zbMath1136.49028OpenAlexW151562488MaRDI QIDQ5436774

Jason A. Zimmerman, Velimir Jurdjevic

Publication date: 17 January 2008

Published in: Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-73890-9_17

zbMATH Keywords

Hamiltonian systemssub-Riemannianisometricrolling sphere problem

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Hamilton's equations (70H05) Control of mechanical systems (70Q05)

Related Items (5)

A historical review on nonholomic mechanics ⋮ Rolling Maps and Nonlinear Data ⋮ A unifying approach for rolling symmetric spaces ⋮ Bicycle paths, elasticae and sub-Riemannian geometry ⋮ Unnamed Item

Cites Work

• The geometry of the plate-ball problem
• Optimal control of the sphere \(S^n\) rolling on \(E^n\)
• Control theory from the geometric viewpoint.
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• Integrable Hamiltonian systems on complex Lie groups
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