On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation
نویسندگان
چکیده
We study the asymptotic behavior of the Euler-Bernoulli beam which is clamped at one end and free at the other end. We apply a boundary control with memory at the free end of the beam and prove that the “exponential decay” of the memory kernel is a necessary and sufficient condition for the exponential decay of the energy.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1104.2998 شماره
صفحات -
تاریخ انتشار 2011