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) no. 2, pp. 158-172 Cet article a éte moissonné depuis la source Math-Net.Ru

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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_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/}
}
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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/