We study local structure of time-optimal controls and trajectories for a 3-dimensional control-affine system with a 2-dimensional control parameter with values in the disk. In particular, we give sufficient conditions, in terms of Lie bracket relations, for optimal controls to be smooth or to have only isolated jump discontinuities.
Switching in Time-Optimal Problem: the 3D Case with 2D Control / Agrachev, Andrey; Biolo, C.. - In: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. - ISSN 1079-2724. - 23:3(2017), pp. 577-595. [10.1007/s10883-016-9342-7]
Switching in Time-Optimal Problem: the 3D Case with 2D Control
Agrachev, Andrey;Biolo, C.
2017-01-01
Abstract
We study local structure of time-optimal controls and trajectories for a 3-dimensional control-affine system with a 2-dimensional control parameter with values in the disk. In particular, we give sufficient conditions, in terms of Lie bracket relations, for optimal controls to be smooth or to have only isolated jump discontinuities.File in questo prodotto:
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