Switching in Time-optimal Problem with Co-dimension 1 Control

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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تاریخ انتشار 2016