Geodesic
On one class of control problem under uncertainty
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 71-79

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

An approach to solving a control problem for a nonlinear dynamic system containing control and uncertain parameters with terminal performance functional is described. The parameters of the controlled process are such that the uncertainty vector dominates over the control vector. A game control in the class of counterstrategies is suggested such that the value of the functional depends on the realized uncertainty. The quality of a counterstrategy is estimated by comparing the values of the functional under the game control and under the optimal control. The results of calculating the control and values of the functional for test parameters of the model and of the class of uncertainties are presented.
Keywords: control system, optimal control, control of uncertain system. 
@article{TIMM_2011_17_2_a6,
     author = {N. L. Grigorenko and D. V. Kamzolkin and L. N. Luk'yanova and D. G. Pivovarchuk},
     title = {On one class of control problem under uncertainty},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {71--79},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a6/}
}
TY  - JOUR
AU  - N. L. Grigorenko
AU  - D. V. Kamzolkin
AU  - L. N. Luk'yanova
AU  - D. G. Pivovarchuk
TI  - On one class of control problem under uncertainty
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2011
SP  - 71
EP  - 79
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a6/
LA  - ru
ID  - TIMM_2011_17_2_a6
ER  - 
%0 Journal Article
%A N. L. Grigorenko
%A D. V. Kamzolkin
%A L. N. Luk'yanova
%A D. G. Pivovarchuk
%T On one class of control problem under uncertainty
%J Trudy Instituta matematiki i mehaniki
%D 2011
%P 71-79
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a6/
%G ru
%F TIMM_2011_17_2_a6
N. L. Grigorenko; D. V. Kamzolkin; L. N. Luk'yanova; D. G. Pivovarchuk. On one class of control problem under uncertainty. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 71-79. http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a6/