On Stabilization Problem for Nonlinear Systems with Power Principal Part
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...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/140550 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862557641749823488 |
|---|---|
| author | Bebiya, M.O. Korobov, V.I. |
| author_facet | Bebiya, M.O. Korobov, V.I. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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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| first_indexed | 2025-11-25T22:43:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140550 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-25T22:43:44Z |
| publishDate | 2016 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Bebiya, M.O. Korobov, V.I. 2018-07-10T13:55:26Z 2018-07-10T13:55:26Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/140550 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Stabilization Problem for Nonlinear Systems with Power Principal Part Article published earlier |
| spellingShingle | On Stabilization Problem for Nonlinear Systems with Power Principal Part Bebiya, M.O. Korobov, V.I. |
| title | On Stabilization Problem for Nonlinear Systems with Power Principal Part |
| title_full | On Stabilization Problem for Nonlinear Systems with Power Principal Part |
| title_fullStr | On Stabilization Problem for Nonlinear Systems with Power Principal Part |
| title_full_unstemmed | On Stabilization Problem for Nonlinear Systems with Power Principal Part |
| title_short | On Stabilization Problem for Nonlinear Systems with Power Principal Part |
| title_sort | on stabilization problem for nonlinear systems with power principal part |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140550 |
| work_keys_str_mv | AT bebiyamo onstabilizationproblemfornonlinearsystemswithpowerprincipalpart AT korobovvi onstabilizationproblemfornonlinearsystemswithpowerprincipalpart |