Polynomial and analytic stabilization of a wave equation coupled with an Euler–Bernoulli beam

✍ Scribed by Kaïs Ammari; Serge Nicaise

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 180 KB
• Volume: 32
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1052

✦ Synopsis

Abstract

We consider a stabilization problem for a model arising in the control of noise. We prove that in the case where the control zone does not satisfy the geometric control condition, B.L.R. (see Bardos et al. SIAM J. Control Optim. 1992; 30:1024–1065), we have a polynomial stability result for all regular initial data. Moreover, we give a precise estimate on the analyticity of reachable functions where we have an exponential stability. Copyright © 2008 John Wiley & Sons, Ltd.