Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point
In the paper, the necessary and su±cient conditions of null-controllability and approximate null-controllability are obtained for the some control system. The problems for the control system are considered in the modified Sobolev spaces. The control that solves these problems is found explicitly. Th...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2011 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106663 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point / K.S. Khalina // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 1. — С. 34-58. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862668987132805120 |
|---|---|
| author | Khalina, K.S. |
| author_facet | Khalina, K.S. |
| citation_txt | Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point / K.S. Khalina // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 1. — С. 34-58. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | In the paper, the necessary and su±cient conditions of null-controllability and approximate null-controllability are obtained for the some control system. The problems for the control system are considered in the modified Sobolev spaces. The control that solves these problems is found explicitly. The bang-bang controls solving the approximate null-controllability problem are constructed as the solutions of the Markov trigonometric moment problem.
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| first_indexed | 2025-12-07T15:26:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106663 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T15:26:37Z |
| publishDate | 2011 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Khalina, K.S. 2016-10-01T18:42:26Z 2016-10-01T18:42:26Z 2011 Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point / K.S. Khalina // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 1. — С. 34-58. — Бібліогр.: 22 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106663 In the paper, the necessary and su±cient conditions of null-controllability and approximate null-controllability are obtained for the some control system. The problems for the control system are considered in the modified Sobolev spaces. The control that solves these problems is found explicitly. The bang-bang controls solving the approximate null-controllability problem are constructed as the solutions of the Markov trigonometric moment problem. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point Article published earlier |
| spellingShingle | Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point Khalina, K.S. |
| title | Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point |
| title_full | Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point |
| title_fullStr | Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point |
| title_full_unstemmed | Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point |
| title_short | Controllability Problems for the Non-Homogeneous String that is Fixed at the Right End Point and has the Dirichlet Boundary Control at the Left End Point |
| title_sort | controllability problems for the non-homogeneous string that is fixed at the right end point and has the dirichlet boundary control at the left end point |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106663 |
| work_keys_str_mv | AT khalinaks controllabilityproblemsforthenonhomogeneousstringthatisfixedattherightendpointandhasthedirichletboundarycontrolattheleftendpoint |