Boundary control of transverse motion of flexible marine risers under stochastic loads
© 2018 Elsevier Ltd. All rights reserved. A constructive design of boundary controllers is proposed to stabilize transverse motion of flexible marine risers under stochastic loads induced by restoring membrane and fluid/air velocity. For stability analysis and boundary control design, global well...
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| Format: | Journal Article |
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Elsevier
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/67839 |
| _version_ | 1848761672625291264 |
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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 | © 2018 Elsevier Ltd. All rights reserved.
A constructive design of boundary controllers is proposed to stabilize transverse motion of flexible marine risers under stochastic loads induced by restoring membrane and fluid/air velocity. For stability analysis and boundary control design, global well-posedness (existence and uniqueness) and global stability criteria are developed for nonlinear stochastic evolution systems in Hilbert space subject to both state-dependent and additive stochastic disturbances. These criteria are obtained by developing Lyapunov sufficient conditions from local well-posedness and stability results. The well-posedness and stability developments are not only applied to ensure well-posedness and almost sure (practical) stability of the variational (strong) solution of the stochastic riser system but also to other hyperbolic systems. |
| first_indexed | 2025-11-14T10:35:24Z |
| format | Journal Article |
| id | curtin-20.500.11937-67839 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:35:24Z |
| publishDate | 2018 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-678392021-02-16T05:48:01Z Boundary control of transverse motion of flexible marine risers under stochastic loads Do, Khac Duc © 2018 Elsevier Ltd. All rights reserved. A constructive design of boundary controllers is proposed to stabilize transverse motion of flexible marine risers under stochastic loads induced by restoring membrane and fluid/air velocity. For stability analysis and boundary control design, global well-posedness (existence and uniqueness) and global stability criteria are developed for nonlinear stochastic evolution systems in Hilbert space subject to both state-dependent and additive stochastic disturbances. These criteria are obtained by developing Lyapunov sufficient conditions from local well-posedness and stability results. The well-posedness and stability developments are not only applied to ensure well-posedness and almost sure (practical) stability of the variational (strong) solution of the stochastic riser system but also to other hyperbolic systems. 2018 Journal Article http://hdl.handle.net/20.500.11937/67839 10.1016/j.oceaneng.2018.02.031 http://creativecommons.org/licenses/by-nc-nd/4.0/ Elsevier fulltext |
| spellingShingle | Do, Khac Duc Boundary control of transverse motion of flexible marine risers under stochastic loads |
| title | Boundary control of transverse motion of flexible marine risers under stochastic loads |
| title_full | Boundary control of transverse motion of flexible marine risers under stochastic loads |
| title_fullStr | Boundary control of transverse motion of flexible marine risers under stochastic loads |
| title_full_unstemmed | Boundary control of transverse motion of flexible marine risers under stochastic loads |
| title_short | Boundary control of transverse motion of flexible marine risers under stochastic loads |
| title_sort | boundary control of transverse motion of flexible marine risers under stochastic loads |
| url | http://hdl.handle.net/20.500.11937/67839 |