Optimal control of the sphere \(S^n\) rolling on \(E^n\)
type: Item
instance of: scholarly article
title: Optimal control of the sphere \(S^n\) rolling on \(E^n\)
zbMATH Open document ID: 1064.49021
author: Jason A. Zimmerman
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 2005-04-14T00:00:00Z
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70E18
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 37J60
Mathematics Subject Classification ID: 93C85
zbMATH DE Number: 2155981
zbMATH Keywords: abnormal extremals
zbMATH Keywords: ball
zbMATH Keywords: completely integrable Hamiltonian systems
zbMATH Keywords: nonholonomic system
zbMATH Keywords: optimal control
zbMATH Keywords: rolling sphere
zbMATH Keywords: sub-Riemannian
zbMATH Keywords: Noether theorem
zbMATH Keywords: symmetric integrals
MaRDI profile type: Publication
full work available at URL: s00498-004-0143-2
OpenAlex ID: W2078789729
cites work: Q4174811
cites work: Topics in control theory. A seminar given at the Forschungsinstitut für Mathematik, ETH, in 1964
cites work: On Hammersley's minimum problem for a rolling sphere
cites work: Nonholonomic Control Systems on Riemannian Manifolds
cites work: Q4315439
cites work: Q3808904
cites work: The algebraic complete integrability of geodesic flow on SO(N)
cites work: Q3959034
cites work: Q4335551
cites work: The geometry of the plate-ball problem
cites work: Shortest paths for sub-Riemannian metrics on rank-two distributions
cites work: Q4318503
cites work: Abnormal Minimizers
cites work: Singular extremals on Lie groups
cites work: A tour of subriemannian geometries, their geodesics and applications
cites work: On the Euler equation: Bi-Hamiltonian structure and integrals in involution
cites work: Q5727849
cites work: Q3870362
cites work: Sub-Riemannian geometry
cites work: Q4146925
DOI: 10.1007/S00498-004-0143-2
description: scientific article; zbMATH DE number 2155981