Integrable quadratic hamiltonians on the Euclidean group of motions

DOI10.1007/s10883-010-9094-8zbMath1203.70041OpenAlexW2008883261MaRDI QIDQ619278

William Holderbaum, James Douglas Biggs

Publication date: 24 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/16316/

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Sub-Riemannian geometry (53C17)

Related Items (5)

Invariant Control Systems on Lie Groups ⋮ Quadratic Hamilton-Poisson systems on \(\mathfrak{se}(1,1)^{*}_{-}\): the inhomogeneous case ⋮ Quadratic Hamilton-Poisson systems in three dimensions: equivalence, stability, and integration ⋮ Cost-extended control systems on Lie groups ⋮ Quadratic Hamilton–Poisson systems on $\mathfrak{s}\mathfrak{e}(1, 1)^{*}_{-}$: The homogeneous case

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