Geodesic
The study of a singularly perturbed control system
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 303-308

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

The behavior of the control-functions and the state-functions (as the parameter tends to zero) for a linear stationary dynamical system with a small parameter at the system’s state functions derivative is studied. Complete conditions are formulated for the uniform aspiration of the control functions and the state of the initial system to the control functions and the state of the limiting system are formulated. A conditions at which the boundary layer phenomena near the edge points of the time interval appears are also formulated.
Keywords: control system, small parameter, uniform tendention, singular disturbance, the boundary layer phenomenon. 
@article{VTAMU_2018_23_122_a22,
     author = {S. P. Zubova and E. V. Raetskaya},
     title = {The study of a singularly perturbed control system},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {303--308},
     publisher = {mathdoc},
     volume = {23},
     number = {122},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a22/}
}
TY  - JOUR
AU  - S. P. Zubova
AU  - E. V. Raetskaya
TI  - The study of a singularly perturbed control system
JO  - Vestnik rossijskih universitetov. Matematika
PY  - 2018
SP  - 303
EP  - 308
VL  - 23
IS  - 122
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a22/
LA  - ru
ID  - VTAMU_2018_23_122_a22
ER  - 
%0 Journal Article
%A S. P. Zubova
%A E. V. Raetskaya
%T The study of a singularly perturbed control system
%J Vestnik rossijskih universitetov. Matematika
%D 2018
%P 303-308
%V 23
%N 122
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a22/
%G ru
%F VTAMU_2018_23_122_a22
S. P. Zubova; E. V. Raetskaya. The study of a singularly perturbed control system. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 303-308. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a22/