On the exponential decay of the Euler-Bernoulli beam with boundary\n energy dissipation

2011/04/15 by Barbara Lazzari, Lazzari, Barbara, Roberta Nibbi +1
Engineering · Computer Science · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1104.2998

Abstract

We study the asymptotic behavior of the Euler-Bernoulli beam which is clamped\nat one end and free at the other end. We apply a boundary control with memory\nat the free end of the beam and prove that the "exponential decay" of the\nmemory kernel is a necessary and sufficient condition for the exponential decay\nof the energy.\n

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