The Riesz basis property of a class of Euler-Bernoulli beam equation
Optimization and Control
2017-05-12 v1
Abstract
In this paper, we prove that a sequence of generalized eigenvectors of a linear unbounded operator associated with an Euler-Bernoulli beam equation under bending moment boundary feedback forms a Riesz basis for the underlying state Hilbert space. As a consequence, the resulting closed-loop system is exponentially stable.
Keywords
Cite
@article{arxiv.1705.03932,
title = {The Riesz basis property of a class of Euler-Bernoulli beam equation},
author = {Hua-Cheng Zhou},
journal= {arXiv preprint arXiv:1705.03932},
year = {2017}
}