Stochastic stabilization of slender beams in space: Modeling and boundary control
This paper considers the problem of modeling and boundary feedback stabilization of extensible and shearable slender beams with large deformations and large rotations in space under both deterministic and stochastic loads induced by flows. Fully nonlinear equations of motion of the beams are first d...
| Main Authors: | , |
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| Format: | Journal Article |
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Pergamon Press
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/66644 |
| _version_ | 1848761360389767168 |
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| author | Do, Khac Duc Lucey, Anthony |
| author_facet | Do, Khac Duc Lucey, Anthony |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper considers the problem of modeling and boundary feedback stabilization of extensible and shearable slender beams with large deformations and large rotations in space under both deterministic and stochastic loads induced by flows. Fully nonlinear equations of motion of the beams are first derived. Boundary feedback controllers are then designed for global practical exponential p-stabilization of the beams based on the Lyapunov direct method. A new Lyapunov-type theorem is developed to study well-posedness and stability of stochastic evolution systems (SESs) in Hilbert space. |
| first_indexed | 2025-11-14T10:30:26Z |
| format | Journal Article |
| id | curtin-20.500.11937-66644 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:30:26Z |
| publishDate | 2018 |
| publisher | Pergamon Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-666442020-09-07T03:26:20Z Stochastic stabilization of slender beams in space: Modeling and boundary control Do, Khac Duc Lucey, Anthony This paper considers the problem of modeling and boundary feedback stabilization of extensible and shearable slender beams with large deformations and large rotations in space under both deterministic and stochastic loads induced by flows. Fully nonlinear equations of motion of the beams are first derived. Boundary feedback controllers are then designed for global practical exponential p-stabilization of the beams based on the Lyapunov direct method. A new Lyapunov-type theorem is developed to study well-posedness and stability of stochastic evolution systems (SESs) in Hilbert space. 2018 Journal Article http://hdl.handle.net/20.500.11937/66644 10.1016/j.automatica.2018.01.017 Pergamon Press fulltext |
| spellingShingle | Do, Khac Duc Lucey, Anthony Stochastic stabilization of slender beams in space: Modeling and boundary control |
| title | Stochastic stabilization of slender beams in space: Modeling and boundary control |
| title_full | Stochastic stabilization of slender beams in space: Modeling and boundary control |
| title_fullStr | Stochastic stabilization of slender beams in space: Modeling and boundary control |
| title_full_unstemmed | Stochastic stabilization of slender beams in space: Modeling and boundary control |
| title_short | Stochastic stabilization of slender beams in space: Modeling and boundary control |
| title_sort | stochastic stabilization of slender beams in space: modeling and boundary control |
| url | http://hdl.handle.net/20.500.11937/66644 |