Geodesic
Bang-bang trajectories with a double switching time in the minimum time problem
Poggiolini, Laura1  ; Spadini, Marco1
1 Dipartimento di Matematica e Informatica “Ulisse Dini”, Università degli Studi di Firenze, via di Santa Marta, 50139 3, Firenze, Italy.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 3, pp. 688-709

Voir la notice de l'article provenant de la source Numdam

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.

Reçu le :
DOI : 10.1051/cocv/2015021
Classification : 49K15, 49J15, 93C10
Keywords: Hamiltonian methods, bang-bang controls, sufficient second order conditions

Poggiolini, Laura 1 ; Spadini, Marco 1

1 Dipartimento di Matematica e Informatica “Ulisse Dini”, Università degli Studi di Firenze, via di Santa Marta, 50139 3, Firenze, Italy. 
@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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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

Cité par Sources :