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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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/140550 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-140550 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1405502018-07-11T01:23:06Z On Stabilization Problem for Nonlinear Systems with Power Principal Part Bebiya, M.O. Korobov, V.I. 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. 2016 Article 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 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Bebiya, M.O. Korobov, V.I. |
| spellingShingle |
Bebiya, M.O. Korobov, V.I. On Stabilization Problem for Nonlinear Systems with Power Principal Part Журнал математической физики, анализа, геометрии |
| author_facet |
Bebiya, M.O. Korobov, V.I. |
| author_sort |
Bebiya, M.O. |
| title |
On Stabilization Problem for Nonlinear Systems with Power Principal Part |
| title_short |
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_sort |
on stabilization problem for nonlinear systems with power principal part |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/140550 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT bebiyamo onstabilizationproblemfornonlinearsystemswithpowerprincipalpart AT korobovvi onstabilizationproblemfornonlinearsystemswithpowerprincipalpart |
| first_indexed |
2023-10-18T21:22:54Z |
| last_indexed |
2023-10-18T21:22:54Z |
| _version_ |
1796152661426307072 |