Switching in Time-Optimal Problem with Control in a Ball

نویسندگان

  • Andrei A. Agrachev
  • Carolina Biolo
چکیده

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 = 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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عنوان ژورنال:
  • SIAM J. Control and Optimization

دوره 56  شماره 

صفحات  -

تاریخ انتشار 2018