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Optimal Control and Poisson Reduction
(1993)
In this paper we make explicit a reduction of G-invariant optimal control problems on a Lie group G.
High-Order Averaging on Lie Groups and Control of an Autonomous Underwater Vehicle
(1993)
In this paper we extend our earlier results on the use of periodic forcing and averaging to solve the constructive controllability problem for drift-free left-invariant systems on Lie groups with fewer controls than state ...