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Documents Associated With Scientific Events Year : 2014

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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Dates and versions

hal-01024733 , version 1 (18-07-2014)

Identifiers

  • HAL Id : hal-01024733 , version 1

Cite

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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