Riesz basis property of Timoshenko beams with boundary feedback control
A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop s...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203011414 |
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| _version_ | 1832565574957268992 |
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| author | De-Xing Feng Gen-Qi Xu Siu-Pang Yung |
| author_facet | De-Xing Feng Gen-Qi Xu Siu-Pang Yung |
| author_sort | De-Xing Feng |
| collection | DOAJ |
| description | A Timoshenko beam equation with boundary feedback control is
considered. By an abstract result on the Riesz basis generation
for the discrete operators in the Hilbert spaces, we show that
the closed-loop system is a Riesz system, that is, the sequence
of generalized eigenvectors of the closed-loop system forms a
Riesz basis in the state Hilbert space. |
| format | Article |
| id | doaj-art-3aa02d14ca294af7874ac47406067250 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3aa02d14ca294af7874ac474060672502025-02-03T01:07:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003281807182010.1155/S0161171203011414Riesz basis property of Timoshenko beams with boundary feedback controlDe-Xing Feng0Gen-Qi Xu1Siu-Pang Yung2Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, ChinaDepartment of Mathematics, Shanxi University, Taiyuan 030006, ChinaDepartment of Mathematics, Faculty of Science, University of Hong Kong (HKU), Hong KongA Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop system forms a Riesz basis in the state Hilbert space.http://dx.doi.org/10.1155/S0161171203011414 |
| spellingShingle | De-Xing Feng Gen-Qi Xu Siu-Pang Yung Riesz basis property of Timoshenko beams with boundary feedback control International Journal of Mathematics and Mathematical Sciences |
| title | Riesz basis property of Timoshenko beams with boundary feedback
control |
| title_full | Riesz basis property of Timoshenko beams with boundary feedback
control |
| title_fullStr | Riesz basis property of Timoshenko beams with boundary feedback
control |
| title_full_unstemmed | Riesz basis property of Timoshenko beams with boundary feedback
control |
| title_short | Riesz basis property of Timoshenko beams with boundary feedback
control |
| title_sort | riesz basis property of timoshenko beams with boundary feedback control |
| url | http://dx.doi.org/10.1155/S0161171203011414 |
| work_keys_str_mv | AT dexingfeng rieszbasispropertyoftimoshenkobeamswithboundaryfeedbackcontrol AT genqixu rieszbasispropertyoftimoshenkobeamswithboundaryfeedbackcontrol AT siupangyung rieszbasispropertyoftimoshenkobeamswithboundaryfeedbackcontrol |