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...
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| Format: | Journal Article |
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Pergamon Press
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/34286 |
| Summary: | 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. |
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