Geodesic
On solving approach problems for control systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control, Tome 291 (2015), pp. 276-291

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

We study the problem of making a control system in a finite-dimensional Euclidean space approach a compact set at a fixed instant of time. The technique presented in the paper for solving the approach problem is based on constructions involving solvability sets. To construct approximately the solvability set, we apply a backward (in time) procedure that involves storing controls selected during the construction of this set. We also give examples of simulation of approach problems for mechanical systems. 
@article{TM_2015_291_a20,
     author = {V. N. Ushakov and V. I. Ukhobotov and A. V. Ushakov and G. V. Parshikov},
     title = {On solving approach problems for control systems},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {276--291},
     publisher = {mathdoc},
     volume = {291},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_291_a20/}
}
TY  - JOUR
AU  - V. N. Ushakov
AU  - V. I. Ukhobotov
AU  - A. V. Ushakov
AU  - G. V. Parshikov
TI  - On solving approach problems for control systems
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2015
SP  - 276
EP  - 291
VL  - 291
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2015_291_a20/
LA  - ru
ID  - TM_2015_291_a20
ER  - 
%0 Journal Article
%A V. N. Ushakov
%A V. I. Ukhobotov
%A A. V. Ushakov
%A G. V. Parshikov
%T On solving approach problems for control systems
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2015
%P 276-291
%V 291
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2015_291_a20/
%G ru
%F TM_2015_291_a20
V. N. Ushakov; V. I. Ukhobotov; A. V. Ushakov; G. V. Parshikov. On solving approach problems for control systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal control, Tome 291 (2015), pp. 276-291. http://geodesic.mathdoc.fr/item/TM_2015_291_a20/