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Switching in time-optimal problem with control in a ball (1610.06755v3)
Published 21 Oct 2016 in math.OC
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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