Abstract
In this paper, we prove an exponential decay result for the energy associated to a flexible marine riser with vessel dynamics. By applying a control at the top boundary of the riser we shall attenuate its vibration in a fast manner. The method is based on the multiplier technique. The riser is modeled as a viscoelastic beam with a (slightly perturbed) standard relaxation kernel.
| Original language | English |
|---|---|
| Pages (from-to) | 1957-1973 |
| Number of pages | 17 |
| Journal | Applicable Analysis |
| Volume | 95 |
| Issue number | 9 |
| DOIs | |
| State | Published - 1 Sep 2016 |
Bibliographical note
Publisher Copyright:© 2015 Taylor & Francis.
Keywords
- boundary control
- exponential stabilization
- multiplier technique
- relaxation function
- viscoelastic material
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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