引用本文:阎庆旭,冯德兴.具有耗散边界反馈的Timoshenko梁的镇定(英文)[J].控制理论与应用,2001,18(3):353~357.[点击复制]
YAN Qing-xu,FENG De-xing.Stabilization of Timoshenko Beam with Dissipative Boundary Feedback[J].Control Theory and Technology,2001,18(3):353~357.[点击复制]
具有耗散边界反馈的Timoshenko梁的镇定(英文)
Stabilization of Timoshenko Beam with Dissipative Boundary Feedback
摘要点击 1457  全文点击 848  投稿时间：2000-03-15  修订日期：2000-06-02
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DOI编号  10.7641/j.issn.1000-8152.2001.3.007
  2001,18(3):353-357
中文关键词  Timoshenko梁  边界反馈  C0半群  指数稳定性
英文关键词  Timoshenko beam  boundary feedback  C0 semigroups  exponential stabilization
基金项目  
作者单位
阎庆旭 中国科学院数学和系统科学研究院系统科学研究所, 北京 100080 
冯德兴 中国科学院数学和系统科学研究院系统科学研究所, 北京 100080 
中文摘要
      研究了具有线性耗散边界控制的Timoshenko梁的边界反馈镇定问题. 首先, 在反馈系数矩阵B正定的前提下, 我们证明了所论闭环系统是指数稳定的. 然后, 对于反馈系数矩阵B半正定的情况, 得到了闭环系统渐近稳定的几个充要条件.
英文摘要
      The stabilization problem of a Timoshenko beam with some linear boundary feedback controls is studied. First, under the condition that the feedback coefficient matrix B is positive, the energy of the corresponding closed loop system is proven to be exponentially convergent to zero as time t→∞. Then, under the condition that rank(B)=1, some necessary and sufficient conditions for the corresponding closed loop system to be asymptotically stable are derived.