On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation
Mathematical Physics
2011-04-18 v1 Systems and Control
math.MP
Optimization and Control
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.
Keywords
Cite
@article{arxiv.1104.2998,
title = {On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation},
author = {Barbara Lazzari and Roberta Nibbi},
journal= {arXiv preprint arXiv:1104.2998},
year = {2011}
}
Comments
13 pages