Geodesic
On stabilization problem for nonlinear systems with power principal part
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2016) no. 2, pp. 113-133 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper, the stabilization problem for the uncontrollable with respect to the first approximation nonlinear system with power principal part is solved. A class of stabilizing controls for the nonlinear approximation of this system is constructed by using the Lyapunov function method. It is proved that the same controls solve the stabilization problem for the original nonlinear system. An ellipsoidal approximation of the domain of attraction to the origin is given. 
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M. O. Bebiya; V. I. Korobov. On stabilization problem for nonlinear systems with power principal part. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2016) no. 2, pp. 113-133. http://geodesic.mathdoc.fr/item/JMAG_2016_12_2_a1/

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