Bang bang trajectories with a double switching time in the minimum time problem

Abstract : We consider the minimum time problem with xed end-points on a finite dimensional manifold M in the case when the dynamics is a ne with respect to the control and the control set is a box in R^m. We are interested in giving sufficient conditions for strong local optimality. Our sufficient conditions are given using Hamiltonian methods, but here the presence of a double switch makes the proof of the local invertibility of the maximized Hamiltonian flow much more tricky.
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Document associé à des manifestations scientifiques
NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France
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https://hal.inria.fr/hal-01024733
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Soumis le : vendredi 18 juillet 2014 - 14:10:38
Dernière modification le : lundi 21 mars 2016 - 17:49:03
Document(s) archivé(s) le : lundi 24 novembre 2014 - 16:40:46

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  • HAL Id : hal-01024733, version 1

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Laura Poggiolini, Marco Spadini, Gianna Stefani. Bang bang trajectories with a double switching time in the minimum time problem. NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France. 〈hal-01024733〉

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