Control of a riser through the dynamic of the vessel. Issue 9 (1st September 2016)

• Record Type: Journal Article
• Authors: Seghour, L.; Khemmoudj, A.; Tatar, N.-e.
• Is Part Of: Applicable analysis. Volume 95:Issue 9(2016)
• Page Start: 1957
• Page End: 1973
• Publication Date: 2016-09-01
• Subjects: exponential stabilization -- viscoelastic material -- relaxation function -- boundary control -- multiplier technique; 35L20 -- 93D15 -- 93D20; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1080249
• Languages: English
• ISSNs: 0003-6811

Abstract

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.