Submersions, Hamiltonian Systems, and Optimal Solutions to the Rolling Manifolds Problem

DOI10.1137/15M1008919zbMath1333.37104arXiv1212.3651MaRDI QIDQ2796105

Erlend Grong

Publication date: 23 March 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3651

zbMATH Keywords

optimal controlHamiltonian systemssub-Riemannian manifoldsrolling manifoldssubmersions

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Differential geometric aspects in kinematics (53A17) Motion of a rigid body in contact with a solid surface (70E18) Sub-Riemannian geometry (53C17) Nonholonomic dynamical systems (37J60)

Related Items (4)

Infinitesimally helicoidal motions with fixed pitch of oriented geodesics of a space form ⋮ Riemannian and sub-Riemannian geodesic flows ⋮ Functional inequalities on path space of sub-Riemannian manifolds and applications ⋮ Homogeneous geodesics in sub-Riemannian geometry

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