Feedback boundary stabilization of wave equations with interior delay

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• 作者：Kaï ; s Ammari ; Serge Nicaise ; Cristina Pignotti
• 关键词：Boundary stabilization ; Interior delay ; Wave equations
• 刊名：Systems and Control Letters
• 出版年：2010
• 出版时间：October 2010
• 年：2010
• 卷：59
• 期：10
• 页码：623-628
• 全文大小：250 K

文摘

In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition. The proof of the main result is based on an identity with multipliers that allows us to obtain a uniform decay estimate for a suitable Lyapunov functional.