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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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/140564 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-140564 |
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Korobov, V.I. Revina, T.V. 2018-07-10T17:01:21Z 2018-07-10T17:01:21Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/140564 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Robust Feedback for Systems with Multidimensional Control Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On Robust Feedback for Systems with Multidimensional Control |
| spellingShingle |
On Robust Feedback for Systems with Multidimensional Control Korobov, V.I. Revina, T.V. |
| 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 |
| author |
Korobov, V.I. Revina, T.V. |
| author_facet |
Korobov, V.I. Revina, T.V. |
| publishDate |
2017 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
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| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT korobovvi onrobustfeedbackforsystemswithmultidimensionalcontrol AT revinatv onrobustfeedbackforsystemswithmultidimensionalcontrol |
| first_indexed |
2025-12-07T17:16:37Z |
| last_indexed |
2025-12-07T17:16:37Z |
| _version_ |
1850870644998144000 |