In this paper we deal with the strong local optimality of a triplet satisfying Pontryagin Maximum Principle in the minimum time problem between two given manifolds. The reference control is assumed to be bang-bang with a double switching time. Our methods are based on a topological technique for the inversion of the projected maximised flow.
DOI : 10.1051/cocv/2015021
Mots-clés : Hamiltonian methods, bang-bang controls, sufficient second order conditions
@article{COCV_2016__22_3_688_0,
author = {Poggiolini, Laura and Spadini, Marco},
title = {Bang-bang trajectories with a double switching time in the minimum time problem},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {688--709},
publisher = {EDP-Sciences},
volume = {22},
number = {3},
year = {2016},
doi = {10.1051/cocv/2015021},
zbl = {1344.49037},
mrnumber = {3527939},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv/2015021/}
}
TY - JOUR AU - Poggiolini, Laura AU - Spadini, Marco TI - Bang-bang trajectories with a double switching time in the minimum time problem JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2016 SP - 688 EP - 709 VL - 22 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2015021/ DO - 10.1051/cocv/2015021 LA - en ID - COCV_2016__22_3_688_0 ER -
%0 Journal Article %A Poggiolini, Laura %A Spadini, Marco %T Bang-bang trajectories with a double switching time in the minimum time problem %J ESAIM: Control, Optimisation and Calculus of Variations %D 2016 %P 688-709 %V 22 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2015021/ %R 10.1051/cocv/2015021 %G en %F COCV_2016__22_3_688_0
Poggiolini, Laura; Spadini, Marco. Bang-bang trajectories with a double switching time in the minimum time problem. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 3, pp. 688-709. doi : 10.1051/cocv/2015021. http://www.numdam.org/articles/10.1051/cocv/2015021/
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