Geodesic
Moving object in $\mathbb{R}^2$ and group of observers
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 87-93 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

We formulate an extremal problem of constructing a trajectory of a moving object that is farthest from a group of observers with fixed visibility cones. Under some constraints on the arrangement of the observers we give a characterization and a method of construction of an optimal trajectory.
Keywords: moving object, optimal trajectory.
Mots-clés : observer 
@article{TIMM_2016_22_4_a8,
     author = {V. I. Berdyshev},
     title = {Moving object in $\mathbb{R}^2$ and group of observers},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {87--93},
     year = {2016},
     volume = {22},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a8/}
}
TY  - JOUR
AU  - V. I. Berdyshev
TI  - Moving object in $\mathbb{R}^2$ and group of observers
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2016
SP  - 87
EP  - 93
VL  - 22
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a8/
LA  - ru
ID  - TIMM_2016_22_4_a8
ER  - 
%0 Journal Article
%A V. I. Berdyshev
%T Moving object in $\mathbb{R}^2$ and group of observers
%J Trudy Instituta matematiki i mehaniki
%D 2016
%P 87-93
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a8/
%G ru
%F TIMM_2016_22_4_a8
V. I. Berdyshev. Moving object in $\mathbb{R}^2$ and group of observers. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 87-93. http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a8/

[1] Berdyshev V.I., Kostousov V.B., “Ekstremalnye zadachi planirovaniya marshruta dvizhuschegosya ob'ekta v usloviyakh nablyudeniya”, Modern Problems in Mathematics and its Applications, Proc. of the 47th Internat. Youth School-Conf. (Yekaterinburg, 2016), CEUR Workshop Proceedings, 1662, 32–41 http://ceur-ws.org/Vol-1662/