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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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https://hal.inria.fr/hal-01024733
Contributor : Hasnaa Zidani <>
Submitted on : Friday, July 18, 2014 - 2:10:38 PM
Last modification on : Wednesday, April 15, 2020 - 9:56:12 AM
Long-term archiving on: : Monday, November 24, 2014 - 4:40:46 PM

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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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