Inexact trajectory planning and inverse problems in the Hamilton–Pontryagin framework
نویسندگان
چکیده
منابع مشابه
Inexact trajectory planning and inverse problems in the Hamilton-Pontryagin framework.
We study a trajectory-planning problem whose solution path evolves by means of a Lie group action and passes near a designated set of target positions at particular times. This is a higher-order variational problem in optimal control, motivated by potential applications in computational anatomy and quantum control. Reduction by symmetry in such problems naturally summons methods from Lie group ...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2013
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2013.0249