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Neighboring extremal optimal control for mechanical systems on Riemannian manifolds

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  • In this paper, we extend neighboring extremal optimal control, which is well established for optimal control problems defined on a Euclidean space (see, e.g., [8]) to the setting of Riemannian manifolds. We further specialize the results to the case of Lie groups. An example along with simulation results is presented.
    Mathematics Subject Classification: Primary: 49J15, 49K40; Secondary: 37N35.


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