Geodesic
On characteristic distibutions of left-invariant optimal-control systems
Trudy Instituta matematiki, Tome 25 (2017) no. 2, pp. 70-81

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate abnormal extremals of left-invariant systems of optimal control on Lie groups. Examples of computations of the characteristic distribution for control problems on Lie groups with Lie algebras with the structure of free and pseudo-free products of depth 2 are analyzed. It is shown that the characteristic distribution can, in general, be multidimensional. 
@article{TIMB_2017_25_2_a6,
     author = {D. I. Pirshtuk},
     title = {On characteristic distibutions of left-invariant optimal-control systems},
     journal = {Trudy Instituta matematiki},
     pages = {70--81},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2017_25_2_a6/}
}
TY  - JOUR
AU  - D. I. Pirshtuk
TI  - On characteristic distibutions of left-invariant optimal-control systems
JO  - Trudy Instituta matematiki
PY  - 2017
SP  - 70
EP  - 81
VL  - 25
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMB_2017_25_2_a6/
LA  - ru
ID  - TIMB_2017_25_2_a6
ER  - 
%0 Journal Article
%A D. I. Pirshtuk
%T On characteristic distibutions of left-invariant optimal-control systems
%J Trudy Instituta matematiki
%D 2017
%P 70-81
%V 25
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMB_2017_25_2_a6/
%G ru
%F TIMB_2017_25_2_a6
D. I. Pirshtuk. On characteristic distibutions of left-invariant optimal-control systems. Trudy Instituta matematiki, Tome 25 (2017) no. 2, pp. 70-81. http://geodesic.mathdoc.fr/item/TIMB_2017_25_2_a6/