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- W3104658082 abstract "In this paper we consider an intrinsic point of view to describe the equations of motion for higher-order variational problems with constraints on higher-order trivial principal bundles. Our techniques are an adaptation of the classical Skinner-Rusk approach for the case of Lagrangian dynamics with higher-order constraints. We study a regular case where it is possible to establish a symplectic framework and, as a consequence, to obtain a unique vector field determining the dynamics. As an interesting application we deduce the equations of motion for optimal control of underactuated mechanical systems defined on principal bundles." @default.
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- W3104658082 date "2014-04-01" @default.
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- W3104658082 title "Unified formalism for higher-order variational problems and its applications in optimal control" @default.
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- W3104658082 doi "https://doi.org/10.1142/s0219887814500340" @default.
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