On Stabilization Problem for Nonlinear Systems with Power Principal Part

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2016
• Main Authors: Bebiya, M.O., Korobov, V.I.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140550
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Stabilization Problem for Nonlinear Systems with Power Principal Part / M.O. Bebiya, V.I. Korobov // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 2. — С. 113-133. — Бібліогр.: 14 назв. — англ.

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...