@inproceedings{26f8d00847b14ef69982540cd61ac163,
title = "Riesz basis approach to feedback stabilization for a cantilever beam system",
abstract = "In this paper, we study the stabilization of an elastic beam system with axial force and a tip mass. The system is modeled as a Rayleigh beam equation. We propose a boundary feedback control moment to stabilize the closed-loop system. We first present the asymptotic expressions for the eigenpairs of the system and then show that the generalized eigenfunctions form a Riesz basis in the state space. Finally, we prove the exponential stability of the closed-loop system.",
keywords = "Rayleigh beam, exponential stability, feedback control",
author = "Wang, {Jun Min} and Xiong, {Meng Qing} and Chao Yang",
note = "Publisher Copyright: {\textcopyright} 2017 Technical Committee on Control Theory, CAA.; 36th Chinese Control Conference, CCC 2017 ; Conference date: 26-07-2017 Through 28-07-2017",
year = "2017",
month = sep,
day = "7",
doi = "10.23919/ChiCC.2017.8027573",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "1563--1568",
editor = "Tao Liu and Qianchuan Zhao",
booktitle = "Proceedings of the 36th Chinese Control Conference, CCC 2017",
address = "United States",
}