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.
Switching in Time-Optimal Problem with control in a ball / Agrachev, Andrey; Biolo, Carolina. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - 56:1(2018), pp. 183-200. [10.1137/16M110304X]
Switching in Time-Optimal Problem with control in a ball
Agrachev, Andrey;Biolo, Carolina
2018-01-01
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 = 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.File in questo prodotto:
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