Exponential stability of second-order evolution equations with structural damping and dynamic boundary delay feedback
نویسندگان
چکیده
We consider a stabilization problem for abstract second-order evolution equations with dynamic boundary feedback laws with a delay and distributed structural damping. We prove an exponential stability result under a suitable condition between the internal damping and the boundary laws. The proof of the main result is based on an identity with multipliers that allows to obtain a uniform decay estimate for a suitable energy functional. Some concrete examples are detailed. Some counterexamples suggest that this condition is optimal.
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عنوان ژورنال:
- IMA J. Math. Control & Information
دوره 28 شماره
صفحات -
تاریخ انتشار 2011