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arXiv · 1101.1537

Time-Optimal solutions of Parallel Navigation and Finsler geodesics

M. Rafie-Rad
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Abstract

A geometric approach to kinematics in control theory is illustrated. A non-linear control system is derived for the problem and the Pontryagin maximum principle is used to find the time-optimal trajectories of the Parallel navigation. The time-optimal trajectories of the Parallel navigation are characterized through a geometric formulation. It is notable that the approach has the advantages using feedback.

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M. Rafie-Rad. 2011-01-07. Time-Optimal solutions of Parallel Navigation and Finsler geodesics. https://arxiv.org/abs/1101.1537

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