Switching in Time-Optimal Problem with Control in a Ball
Abstract
In this paper we analyze 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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Information & Authors
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Published In
SIAM Journal on Control and Optimization
Pages: 183 - 200
DOI: 10.1137/16M110304X
ISSN (online): 1095-7138
Copyright
© 2018, Society for Industrial and Applied Mathematics.
History
Submitted: 11 November 2016
Accepted: 21 September 2017
Published online: 18 January 2018
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