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.
B. Lazzari, R. Nibbi (2012). On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 389(2), 1078-1085 [10.1016/j.jmaa.2011.12.046].
On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation
LAZZARI, BARBARA;NIBBI, ROBERTA
2012
Abstract
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.File in questo prodotto:
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