Article ID Journal Published Year Pages File Type
838130 Nonlinear Analysis: Real World Applications 2010 6 Pages PDF
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. It is proved that the time-optimal relative trajectories of the Parallel navigation are geodesics of a Finsler metric. It is notable that the approach has the advantages using feedback.

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Physical Sciences and Engineering Engineering Engineering (General)
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