On Robust Feedback for Systems with Multidimensional Control
The paper deals with local robust feedback synthesis problem for systems with multidimensional control and unknown bounded perturbations. Using V.I. Korobov's controllability function method, a bounded control which steers an arbitrary initial point to the origin at some finite time is construc...
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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/140564 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Robust Feedback for Systems with Multidimensional Control / V.I. Korobov, T.V. Revina // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 35-56. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-140564 |
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irk-123456789-1405642018-07-11T01:23:19Z On Robust Feedback for Systems with Multidimensional Control Korobov, V.I. Revina, T.V. The paper deals with local robust feedback synthesis problem for systems with multidimensional control and unknown bounded perturbations. Using V.I. Korobov's controllability function method, a bounded control which steers an arbitrary initial point to the origin at some finite time is constructed; an estimate from above for the time of motion is given. The range of a segment where the perturbations can vary is found. As an example, the problem of stopping the oscillations of the system of two coupled pendulums is considered. 2017 Article On Robust Feedback for Systems with Multidimensional Control / V.I. Korobov, T.V. Revina // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 35-56. — Бібліогр.: 22 назв. — англ. 1812-9471 DOI: doi.org/10.15407/mag13.01.035 Mathematics Subject Classification 2000: 93B50, 93D09, 93C73, 70Q05 http://dspace.nbuv.gov.ua/handle/123456789/140564 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 |
The paper deals with local robust feedback synthesis problem for systems with multidimensional control and unknown bounded perturbations. Using V.I. Korobov's controllability function method, a bounded control which steers an arbitrary initial point to the origin at some finite time is constructed; an estimate from above for the time of motion is given. The range of a segment where the perturbations can vary is found. As an example, the problem of stopping the oscillations of the system of two coupled pendulums is considered. |
| format |
Article |
| author |
Korobov, V.I. Revina, T.V. |
| spellingShingle |
Korobov, V.I. Revina, T.V. On Robust Feedback for Systems with Multidimensional Control Журнал математической физики, анализа, геометрии |
| author_facet |
Korobov, V.I. Revina, T.V. |
| author_sort |
Korobov, V.I. |
| title |
On Robust Feedback for Systems with Multidimensional Control |
| title_short |
On Robust Feedback for Systems with Multidimensional Control |
| title_full |
On Robust Feedback for Systems with Multidimensional Control |
| title_fullStr |
On Robust Feedback for Systems with Multidimensional Control |
| title_full_unstemmed |
On Robust Feedback for Systems with Multidimensional Control |
| title_sort |
on robust feedback for systems with multidimensional control |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/140564 |
| citation_txt |
On Robust Feedback for Systems with Multidimensional Control / V.I. Korobov, T.V. Revina // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 35-56. — Бібліогр.: 22 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT korobovvi onrobustfeedbackforsystemswithmultidimensionalcontrol AT revinatv onrobustfeedbackforsystemswithmultidimensionalcontrol |
| first_indexed |
2023-10-18T21:22:56Z |
| last_indexed |
2023-10-18T21:22:56Z |
| _version_ |
1796152662901653504 |