Optimal Control and Geodesics on Matrix Lie Groups
نویسندگان
چکیده
In this paper we analyze left invariant geodesic problems on matrix Lie groups from both the continuous and discrete viewpoint; the discrete approach approximates the continuous description. We show how the dynamic systems characterizing the extremals also arise from a generalization of the geodesic problem posed as an optimal control problem. We investigate conserved quantities and invariant manifolds. All the results presented have continuous and discrete formulations. In particular we obtain the same conserved quantities and invariant manifolds for both the continuous and discrete dynamics. c ©Controlo 2010
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تاریخ انتشار 2010