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• W1865230718 abstract "In this paper, we describe a geometric setting for higher-order lagrangian problems on Lie groups. Using left-trivialization of the higher-order tangent bundle of a Lie group and an adaptation of the classical Skinner-Rusk formalism, we deduce an intrinsic framework for this type of dynamical systems. Interesting applications as, for instance, a geometric derivation of the higher-order Euler-Poincare equations, optimal control of underactuated control systems whose configuration space is a Lie group are shown, among others, along the paper." @default.
• W1865230718 created "2016-06-24" @default.
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• W1865230718 date "2011-04-16" @default.
• W1865230718 modified "2023-10-16" @default.
• W1865230718 title "On the geometry of higher-order variational problems on Lie groups" @default.
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