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arXiv · 1610.06755

Switching in time-optimal problem with control in a ball

Andrei A. Agrachev·Carolina Biolo
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Abstract

In this paper we analyse local regularity of time-optimal controls and trajectories for an n-dimensional affine control system with a control parameter, taking values in a k-dimensional closed ball. In the case of k equal to n-1, we give sufficient conditions in terms of Lie bracket relations for all optimal controls to be smooth or to have only isolated jump discontinuities.

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Andrei A. Agrachev, Carolina Biolo. 2016-10-21. Switching in time-optimal problem with control in a ball. https://arxiv.org/abs/1610.06755

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