Boundary Control of Slender Beams under Deterministic and Stochastic Loads
This paper first derives equations of motion of extensible and shearable slender beams with large motions under both deterministic and stochastic external loads. Boundary feedback controllers are then proposed to achieve almost surely globally practically asymptotic stability. The control design, we...
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| Format: | Journal Article |
| Published: |
The American Society of Mechanical Engineers
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/61235 |
| _version_ | 1848760670071291904 |
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| author | Do, Khac Duc |
| author_facet | Do, Khac Duc |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper first derives equations of motion of extensible and shearable slender beams with large motions under both deterministic and stochastic external loads. Boundary feedback controllers are then proposed to achieve almost surely globally practically asymptotic stability. The control design, well-posedness, and stability analysis are based on a Lyapunov-Type theorem developed for a class of stochastic evolution systems (SESs) in Hilbert space. |
| first_indexed | 2025-11-14T10:19:28Z |
| format | Journal Article |
| id | curtin-20.500.11937-61235 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:19:28Z |
| publishDate | 2017 |
| publisher | The American Society of Mechanical Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-612352018-07-09T02:08:43Z Boundary Control of Slender Beams under Deterministic and Stochastic Loads Do, Khac Duc This paper first derives equations of motion of extensible and shearable slender beams with large motions under both deterministic and stochastic external loads. Boundary feedback controllers are then proposed to achieve almost surely globally practically asymptotic stability. The control design, well-posedness, and stability analysis are based on a Lyapunov-Type theorem developed for a class of stochastic evolution systems (SESs) in Hilbert space. 2017 Journal Article http://hdl.handle.net/20.500.11937/61235 10.1115/1.4036071 The American Society of Mechanical Engineers restricted |
| spellingShingle | Do, Khac Duc Boundary Control of Slender Beams under Deterministic and Stochastic Loads |
| title | Boundary Control of Slender Beams under Deterministic and Stochastic Loads |
| title_full | Boundary Control of Slender Beams under Deterministic and Stochastic Loads |
| title_fullStr | Boundary Control of Slender Beams under Deterministic and Stochastic Loads |
| title_full_unstemmed | Boundary Control of Slender Beams under Deterministic and Stochastic Loads |
| title_short | Boundary Control of Slender Beams under Deterministic and Stochastic Loads |
| title_sort | boundary control of slender beams under deterministic and stochastic loads |
| url | http://hdl.handle.net/20.500.11937/61235 |