Extremals of a Left-Invariant Sub-Finsler Metric on the Engel Group
[摘要] Using the Pontryagin maximum principle for the time-optimal problem in coordinates of the first kind, we find the extremals of an arbitrary left-invariant sub-Finsler metric on the Engel group defined by a distribution of rank 2.
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[效力级别] [学科分类] 数学(综合)
[关键词] (ab)normal extremal;extremal;left-invariant sub-Finsler metric;optimal control;polar curve;Pontryagin maximum principle [时效性]