Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 158-172
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S. Yu. Ignatovich. On a connection of the approximation of nonlinear systems in the sense of time optimality and their algebraic approximation. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 158-172. http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a2/
@article{JMAG_2005_12_2_a2,
author = {S. Yu. Ignatovich},
title = {On a connection of the approximation of nonlinear systems in the sense of time optimality and their algebraic approximation},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {158--172},
year = {2005},
volume = {12},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a2/}
}
TY - JOUR
AU - S. Yu. Ignatovich
TI - On a connection of the approximation of nonlinear systems in the sense of time optimality and their algebraic approximation
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2005
SP - 158
EP - 172
VL - 12
IS - 2
UR - http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a2/
LA - ru
ID - JMAG_2005_12_2_a2
ER -
%0 Journal Article
%A S. Yu. Ignatovich
%T On a connection of the approximation of nonlinear systems in the sense of time optimality and their algebraic approximation
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2005
%P 158-172
%V 12
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a2/
%G ru
%F JMAG_2005_12_2_a2
The question of a connection of the asymptotic behavior of a solution of the time-optimal control problem and properties of the algebra of nonlinear power moments is considered. Namely, it is shown that if a certain moment min-problem approximates the time-optimal control problem then under certain additional assumptions the structures generated in the algebra by this moment problem and by the nonlinear system coincide.
