Time Optimal Return of a Dynamic Object

Details Time Optimal Return of a Dynamic Object Time Optimal Return of a Dynamic Object

2008-11-18

arxiv.org/abs/0811.3016v1

Mathematics

Optimization and Control

6 pages,6 figures

Scientific paper

We solve the problem concerning a time optimal return of a particle with a prescribed velocity to the origin by applying a magnitude-bounded force. The equations of controlled motion are derived and explicitly integrated, and the optimal open-loop control and optimal time are analyzed depending on the parameters of the problem. The qualitative behavior of the solution is established, and the solution is compared with other regimes of motion. The results are of interest for control theory and its applications to controlled flight mechanics.

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