Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2006), pp. 81-94
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Ju. V. Masterkov; L. I. Rodina. The conditions of local controllability for linear systems with stochastic parameters. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2006), pp. 81-94. http://geodesic.mathdoc.fr/item/VUU_2006_1_a7/
@article{VUU_2006_1_a7,
author = {Ju. V. Masterkov and L. I. Rodina},
title = {The conditions of local controllability for linear systems with stochastic parameters},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {81--94},
year = {2006},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2006_1_a7/}
}
TY - JOUR
AU - Ju. V. Masterkov
AU - L. I. Rodina
TI - The conditions of local controllability for linear systems with stochastic parameters
JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY - 2006
SP - 81
EP - 94
IS - 1
UR - http://geodesic.mathdoc.fr/item/VUU_2006_1_a7/
LA - ru
ID - VUU_2006_1_a7
ER -
%0 Journal Article
%A Ju. V. Masterkov
%A L. I. Rodina
%T The conditions of local controllability for linear systems with stochastic parameters
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2006
%P 81-94
%N 1
%U http://geodesic.mathdoc.fr/item/VUU_2006_1_a7/
%G ru
%F VUU_2006_1_a7
The sufficient conditions of the non-predicting controllability for linear systems $\dot x=A(f^t\omega)x+B(f^t\omega)u$, $(t,\omega,x,u)\in{\mathbb R}\times\Omega\times{\mathbb R}^n\times U$ with the stationary stochastic parameters are obtained. The control is called non-predicting if the information about system in the moment $t=\tau$ is known only for $t\leqslant\tau$. The probability of the local controllability for the system on the segment $[0,T]$ is estimated.
