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自由Euler—Bernoulli梁在局部阻尼作用下的边界反馈稳定化
引用本文:杜义飞,张琼,黄发伦. 自由Euler—Bernoulli梁在局部阻尼作用下的边界反馈稳定化[J]. 四川大学学报(自然科学版), 2001, 38(1): 22-28
作者姓名:杜义飞  张琼  黄发伦
作者单位:四川大学数学学院,
摘    要:设非均质Euler-Bernoulli梁的两端是自由的,在其内部受局部Kelvin-Voigt阻尼作用,在梁的一端作用以转角和位移的反馈控制。结合频域方法与乘子技巧,给出梁的能量一致指数衰减的结果。

关 键 词:一致指数衰减 C0-压缩半群 频域方法 EULER-BERN
文章编号:0490-6756(2001)01-0022-07

STABILIZATION OFEULER-BERNOULLI BEAM OF FREE ENDS WITH LOCALLY DISTRIBUTED DAMPING AND BOUNDARY FEEDBACK
DU Yi-fei,ZHANG Qiong,HUANG Fa-lun. STABILIZATION OFEULER-BERNOULLI BEAM OF FREE ENDS WITH LOCALLY DISTRIBUTED DAMPING AND BOUNDARY FEEDBACK[J]. Journal of Sichuan University (Natural Science Edition), 2001, 38(1): 22-28
Authors:DU Yi-fei  ZHANG Qiong  HUANG Fa-lun
Abstract:The stabilization of nonhomogeneous Euler Bernoulli Beam with two ends free and locally disctibuted damping is studied. The authors take control as displacement and angle velocity acting on one end and prove the exponential decay of energy of the system by using multiplier technique in frequency domain method.
Keywords:exponentically decay  C0 contraction semigroup  frequency domain method
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