Nonlinear Dissipative Boundary Feedback Stabilization of Euler-Bernoulli Beam

YAN Qing-Xu; XIE Yu; FENG De-Xing

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Nonlinear Dissipative Boundary Feedback Stabilization of Euler-Bernoulli Beam

机译：Euler-Bernoulli梁的非线性耗散边界反馈镇定

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摘要

The stabilization problem of Euler-Bernoulli beam via nonlinear boundary dissipative feedback is considered. Firstly, by virtue of nonlinear semigroup theory and energy-perturbed method, it is shown that the vibration of the beam under the proposed control action decays exponentially or in negative power of time. Then, some examples are given to show that the nonlinear boundary control considered in this paper is efficient and practical.

机译：考虑了通过非线性边界耗散反馈的Euler-Bernoulli光束的稳定问题。首先，利用非线性半群理论和能量摄动法，表明在所提出的控制作用下，梁的振动呈指数衰减或呈负时间幂衰减。然后，通过一些例子说明本文所考虑的非线性边界控制是有效和实用的。

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来源
《Acta Automatica Sinica》 |2003年第1期|p.1-7|共7页
作者
YAN Qing-Xu; XIE Yu; FENG De-Xing;
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作者单位

Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080;

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原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
关键词
euler-bernoulli beam; nonlinear boundary feedback control; nonlinear C_0 semigroups; exponential stability; multiplier method;

机译：euler-bernoulli梁;非线性边界反馈控制;非线性C_0半群;指数稳定性;乘数法;

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专利

1. Exponential Stabilization of Euler-Bernoulli Beam with Dissipative Boundary Feedback [J] . YAN Qing-Xu, CHEN Zhen-Guo, FENG De-Xing Acta Automatica Sinica . 2004,第3期

机译：耗散边界反馈的Euler-Bernoulli梁的指数镇定
2. A memory type boundary stabilization for an Euler-Bernoulli beam under boundary output feedback control [J] . Yong Han Kang, Jong Yeoul Park, Jung Ae Kim Journal of the Korean Mathematical Society . 2012,第5期

机译：边界输出反馈控制下的Euler-Bernoulli光束记忆型边界稳定
3. Boundary Stabilization of a Nonlinear Viscoelastic Equation with Interior Time-Varying Delay and Nonlinear Dissipative Boundary Feedback [J] . ZaiyunZhang, JianhuaHuang, ZhenhaiLiu, Abstract and applied analysis . 2014,第6期

机译：具有内部时变时滞和非线性耗散边界反馈的非线性粘弹性方程的边界稳定
4. Disturbance estimator based output feedback stabilizing control for an Euler-Bernoulli beam equation with boundary uncertainty [C] . Hongyinping Feng, Bao-Zhu Guo, Wei Guo IEEE Annual Conference on Decision and Control . 2017

机译：具有干扰不确定性的Euler-Bernoulli梁方程的基于扰动估计器的输出反馈稳定控制
5. Dissipative Decomposition and Feedback Stabilization of Nonlinear Control Systems. [D] . Hudon, Nicolas. 2010

机译：非线性控制系统的耗散分解和反馈镇定。
6. Analysis of Nonlinear Thermoelastic Dissipation in Euler-Bernoulli Beam Resonators [O] . Zahra Nourmohammadi, Surabhi Joshi, Srikar Vengallatore -1

机译：Euler-Bernoulli梁谐振器的非线性热弹性耗散分析
7. Uniform stabilization of a nonlinear beam by nonlinear boundary feedback [O] . Lagnese J.E, Leugering G 1991

机译：非线性边界反馈使非线性梁均匀稳定
8. Boundary Stabilization of an Euler-Bernoulli Beam with Viscoelastic Damping [R] . Desch, W., Hannsgen, K. B., Renardy, Y., 1987

机译：具有粘弹性阻尼的Euler-Bernoulli梁的边界稳定性

Nonlinear Dissipative Boundary Feedback Stabilization of Euler-Bernoulli Beam

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