Switching in time-optimal problem with control in a ball

2016/10/21 by Agrachev, Andrei A., Biolo, Carolina · 1 citation
#49J15 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1610.06755

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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