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非均质Euler-Bernoulli梁的边界反馈镇定问题
引用本文:邹慧超,阎庆旭.非均质Euler-Bernoulli梁的边界反馈镇定问题[J].应用泛函分析学报,2002,4(2):145-151.
作者姓名:邹慧超  阎庆旭
作者单位:1. 烟台师范学院数学与计算机科学系,烟台,264025
2. 中国地质大学数学与信息工程系,北京,100083
摘    要:基于频域乘子方法,讨论非均质Euler-Bernoulli梁边界反馈镇定问题,利用黄发伦关于C0-半群指数稳定的判据和指数乘子技巧,证明了只用力或力矩反馈,由Euler-Bernoulli梁所决定的闭环系统可以指数稳定。

关 键 词:非均质Euler-Bernoulli梁  边界反馈镇定问题  线性边界反馈控制  C0-线性半群

Boundary Feedback Stabilization of Nonuniform Euler-Bernoulli Beam
ZOU Hui-chao,YAN Qing-xu.Boundary Feedback Stabilization of Nonuniform Euler-Bernoulli Beam[J].Acta Analysis Functionalis Applicata,2002,4(2):145-151.
Authors:ZOU Hui-chao  YAN Qing-xu
Abstract:The boundary stabilization problem of a nonuniform Euler-Bernoulli beam is investigated based on the frequency domain multiplier method. By virtue of Huang's Theorem and exponential multiplier skills, it is proved that with only linear boundary moment feedback or force control at one end, the energy corresponding to the closed loop system can be exponentially stabilized.
Keywords:Euler-Bernoulli beam  linear boundary feedback control  linear semigroup  exponential stability  exponential multiplier method
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