Stochastic boundary control design for extensible marine risers in three dimensional space
This paper presents a new design of boundary controllers for global practical K8-exponential p-stabilization of vibration motions of extensible marine risers in three-dimensional (3D) space under both stochastic and deterministic sea loads. The control design and analysis of well-posedness and stabi...
| Main Author: | |
|---|---|
| Format: | Journal Article |
| Published: |
Pergamon Press
2017
|
| Online Access: | http://hdl.handle.net/20.500.11937/34286 |
| _version_ | 1848754181370806272 |
|---|---|
| author | Do, Khac Duc |
| author_facet | Do, Khac Duc |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper presents a new design of boundary controllers for global practical K8-exponential p-stabilization of vibration motions of extensible marine risers in three-dimensional (3D) space under both stochastic and deterministic sea loads. The control design and analysis of well-posedness and stability of the closed-loop system are carried out based on a new Lyapunov-type theorem, which is developed for studying well-posedness and p-stability of a class of stochastic evolution systems (SESs) in Hilbert space. Since this theorem eases difficulties in verification of the coercivity condition but requires conditions of a form similar to Lyapunov-type theorems for stochastic lumped-parameter systems, it has a potential application to other stochastic distributed-parameter systems. |
| first_indexed | 2025-11-14T08:36:20Z |
| format | Journal Article |
| id | curtin-20.500.11937-34286 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:36:20Z |
| publishDate | 2017 |
| publisher | Pergamon Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-342862017-09-13T15:12:58Z Stochastic boundary control design for extensible marine risers in three dimensional space Do, Khac Duc This paper presents a new design of boundary controllers for global practical K8-exponential p-stabilization of vibration motions of extensible marine risers in three-dimensional (3D) space under both stochastic and deterministic sea loads. The control design and analysis of well-posedness and stability of the closed-loop system are carried out based on a new Lyapunov-type theorem, which is developed for studying well-posedness and p-stability of a class of stochastic evolution systems (SESs) in Hilbert space. Since this theorem eases difficulties in verification of the coercivity condition but requires conditions of a form similar to Lyapunov-type theorems for stochastic lumped-parameter systems, it has a potential application to other stochastic distributed-parameter systems. 2017 Journal Article http://hdl.handle.net/20.500.11937/34286 10.1016/j.automatica.2016.11.032 Pergamon Press restricted |
| spellingShingle | Do, Khac Duc Stochastic boundary control design for extensible marine risers in three dimensional space |
| title | Stochastic boundary control design for extensible marine risers in three dimensional space |
| title_full | Stochastic boundary control design for extensible marine risers in three dimensional space |
| title_fullStr | Stochastic boundary control design for extensible marine risers in three dimensional space |
| title_full_unstemmed | Stochastic boundary control design for extensible marine risers in three dimensional space |
| title_short | Stochastic boundary control design for extensible marine risers in three dimensional space |
| title_sort | stochastic boundary control design for extensible marine risers in three dimensional space |
| url | http://hdl.handle.net/20.500.11937/34286 |