Feedback boundary stabilization of wave equations with interior delay
نویسندگان
چکیده
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 to obtain a uniform decay estimate for a suitable Lyapunov functional. Mathematics Subject Classification (2000): 35B05, 93D15, 93D20
منابع مشابه
Interior feedback stabilization of wave equations with time dependent delay
We study the stabilization problem by interior (weak/strong) damping of the wave equation with boundary or internal time–varying delay feedback in a bounded and smooth domain Ω ⊂ IR. By introducing suitable Lyapunov functionals exponential stability estimates are obtained if the delay effect is appropriately compensated by the internal damping. 2000 Mathematics Subject Classification: 35L05, 93D15
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عنوان ژورنال:
- Systems & Control Letters
دوره 59 شماره
صفحات -
تاریخ انتشار 2010