Hamiltonian point of view of non-Euclidean geometry and elliptic functions

DOI10.1016/S0167-6911(01)00093-7zbMath1032.37043OpenAlexW2052997814MaRDI QIDQ5941189

Velimir Jurdjevic

Publication date: 20 August 2001

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(01)00093-7

zbMATH Keywords

Lie groupsHamiltonian systemsComplex Lie groupsNon-Euclidean geometry

Mathematics Subject Classification ID

Related Items (6)

Optimal under-actuated kinematic motion planning on the \(\epsilon\)-group ⋮ Optimal control of quantum systems with SU(1, 1) dynamical symmetry ⋮ Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions ⋮ Integrable quadratic hamiltonians on the Euclidean group of motions ⋮ Time-optimal control of quantum lambda systems in the KP configuration ⋮ Projective Reeds-Shepp car onS²with quadratic cost

Cites Work

• The total squared curvature of closed curves
• Integrable Hamiltonian systems on Lie groups: Kowalewski type
• Non-Euclidean Elastica
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