Constructing guaranteed control in quasi-linear systems
Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 201-211

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

For a quasi-linear system, the problem of constructing guaranteed control keeping the phase trajectory near to a prescribed family of closed sets $W(t)$ is considered. The deviation of the phase trajectory from the family is estimated with the help of some function. Sufficient conditions that provide keeping the trajectory within the family are obtained. The case when the vectogram of control $U(t)$ and sets $W(t)$ for every $t$ are polyhedrons of a special kind is analyzed in detail. Examples are given.
@article{TIMM_2005_11_1_a17,
     author = {V. I. Ukhobotov and S. A. Nikitina},
     title = {Constructing guaranteed control in quasi-linear systems},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {201--211},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a17/}
}
TY  - JOUR
AU  - V. I. Ukhobotov
AU  - S. A. Nikitina
TI  - Constructing guaranteed control in quasi-linear systems
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2005
SP  - 201
EP  - 211
VL  - 11
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a17/
LA  - ru
ID  - TIMM_2005_11_1_a17
ER  - 
%0 Journal Article
%A V. I. Ukhobotov
%A S. A. Nikitina
%T Constructing guaranteed control in quasi-linear systems
%J Trudy Instituta matematiki i mehaniki
%D 2005
%P 201-211
%V 11
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a17/
%G ru
%F TIMM_2005_11_1_a17
V. I. Ukhobotov; S. A. Nikitina. Constructing guaranteed control in quasi-linear systems. Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 201-211. http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a17/