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- W1988366872 abstract "Abstract In this paper, we address the issue of solving the motion planning problems (MPP for short) for a class of left-invariant control systems Σ whose state spaces are semisimple compact Lie groups. The sub-Riemannian metrics induced by the dynamics of Σ admit nontrivial abnormal extremals. This fact a priori represents an obstruction for the procedure we use to tackle the MPP, which consists of a homotopy (or continuation) method. We are however able to provide complete answers for the MPP." @default.
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- W1988366872 date "2002-12-01" @default.
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- W1988366872 title "Path planning on compact Lie groups using a homotopy method" @default.
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- W1988366872 doi "https://doi.org/10.1016/s0167-6911(02)00235-9" @default.
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