Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 4, pp. 569-582
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Grigory M. Sklyar; Alexander V. Rezounenko. Strong asymptotic stability and constructing of stabilizing controls. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 4, pp. 569-582. http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a8/
@article{JMAG_2003_10_4_a8,
author = {Grigory M. Sklyar and Alexander V. Rezounenko},
title = {Strong asymptotic stability and constructing of stabilizing controls},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {569--582},
year = {2003},
volume = {10},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a8/}
}
TY - JOUR
AU - Grigory M. Sklyar
AU - Alexander V. Rezounenko
TI - Strong asymptotic stability and constructing of stabilizing controls
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2003
SP - 569
EP - 582
VL - 10
IS - 4
UR - http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a8/
LA - en
ID - JMAG_2003_10_4_a8
ER -
%0 Journal Article
%A Grigory M. Sklyar
%A Alexander V. Rezounenko
%T Strong asymptotic stability and constructing of stabilizing controls
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2003
%P 569-582
%V 10
%N 4
%U http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a8/
%G en
%F JMAG_2003_10_4_a8
We show the role which plays a recent theorem on the strong asymptotic stability in the analysis of the strong stabilizability problem in Hilbert spaces. We consider a control system with skew-adjoint operator and one-dimensional control. We examine in details the property for a linear feedback control to stabilize such a system. A robustness analysis of stabilizing controls is also given.