Embedded geodesic problems and optimal control for matrix Lie groups

DOI10.3934/JGM.2011.3.197zbMath1230.49014OpenAlexW2325746840MaRDI QIDQ646790

Nikolaj Nordkvist, Amit K. Sanyal, Anthony M. Bloch, Peter E. Crouch

Publication date: 17 November 2011

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2011.3.197

zbMATH Keywords

optimal controlgeodesicsgeneralized rigid body mechanics

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Geodesics in global differential geometry (53C22) Other variational principles in mechanics (70H30) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (5)

Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics ⋮ The variational discretization of the constrained higher-order Lagrange-Poincaré equations ⋮ The symmetric representation of the generalized rigid body equations and symplectic reduction ⋮ Invariant Control Systems on Lie Groups ⋮ Cost-extended control systems on Lie groups

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