引用本文:阎庆旭,冯德兴.带动态边界的非均匀Timoshenko梁的反馈镇定(英文)[J].控制理论与应用,2003,20(5):673~677.[点击复制]
YAN Qing-xu,FENG De-xing.Feedback stabilization of nonuniform Timoshenko beam with dynamical boundary[J].Control Theory and Technology,2003,20(5):673~677.[点击复制]
带动态边界的非均匀Timoshenko梁的反馈镇定(英文)
Feedback stabilization of nonuniform Timoshenko beam with dynamical boundary
摘要点击 1771  全文点击 1443  投稿时间：2002-09-29  修订日期：2003-05-20
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DOI编号  10.7641/j.issn.1000-8152.2003.5.005
  2003,20(5):673-677
中文关键词  边界反馈控制  Timoshenko梁  C0半群  指数稳定性  乘子法
英文关键词  boundary feedback control  Timoshenko beam  C-0 semigroups  exponential stability  multiplier method
基金项目  
作者单位E-mail
阎庆旭 中国地质大学 信息工程学院, 北京 100083  
冯德兴 中国科学院 数学与系统科学研究院, 北京 100080 dxfeng@control.iss.ac.cn 
中文摘要
      对于一端具负载的非均质Timoshenko梁, 研究了其边界反馈镇定问题. 首先提出了一种边界反馈控制方案, 建立了相应的闭环系统的适定性. 然后利用乘子法证明了, 当两个边界反馈控制同时作用于梁的负载端时, 闭环系统是指数稳定的.
英文摘要
      The boundary feedback control problem for a nonuniform Timoshenko beam with a load at one end was studied. First, a boundary feedback control scheme was proposed, and the well-posedness of the corresponding closed loop system was established. Then by using the multiplier method, it was proved that the closed loop system was exponentially stable if two boundary feedback controls were applied simultaneously to the beam's tip where the load was carried.