On Stabilization Problem for Nonlinear Systems with Power Principal Part
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Stabilization Problem for Nonlinear Systems with Power Principal Part
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| Creator |
Bebiya, M.O.
Korobov, V.I. |
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| Description |
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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| Date |
2018-07-10T13:55:26Z
2018-07-10T13:55:26Z 2016 |
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| Type |
Article
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| Identifier |
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.
1812-9471 DOI: doi.org/10.15407/mag12.02.113 Mathematics Subject Classification 2000: 93C10, 93D15, 93D30 http://dspace.nbuv.gov.ua/handle/123456789/140550 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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