Geodesic
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), pp. 158-172.

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

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. 
@article{JMAG_2005_12_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},
     publisher = {mathdoc},
     volume = {12},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_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
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JMAG_2005_12_a2/
LA  - ru
ID  - JMAG_2005_12_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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JMAG_2005_12_a2/
%G ru
%F JMAG_2005_12_a2
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), pp. 158-172. http://geodesic.mathdoc.fr/item/JMAG_2005_12_a2/