On Stabilization Problem for Nonlinear Systems with Power Principal Part

dc.contributor.author	Bebiya, M.O.
dc.contributor.author	Korobov, V.I.
dc.date.accessioned	2018-07-10T13:55:26Z
dc.date.available	2018-07-10T13:55:26Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.other	DOI: doi.org/10.15407/mag12.02.113
dc.identifier.other	Mathematics Subject Classification 2000: 93C10, 93D15, 93D30
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/140550
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	On Stabilization Problem for Nonlinear Systems with Power Principal Part	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA