摘要
讨论具有非线性耗散边界反馈的非均质 Euler- Bernoulli梁的镇定问题 .首先利用非线性半群理论和能量摄动方法 ,证明了文中所给出的非线性耗散边界反馈控制可以镇定闭环系统的能量 ,并导出了闭环系统的能量的衰减速度 .
We give a note on the stabilization problem of nonuniform Euler-Bernoulli beam with some nonlinear boundary feedback controls. By virtue of nonlinear semigroup theory, energy-perturbed approach and exponential multiplier method, we show that the vibration of the beam under the proposed control action decays exponentially or in negative power of time t as t→∞.
出处
《应用泛函分析学报》
CSCD
2004年第4期316-321,共6页
Acta Analysis Functionalis Applicata
基金
This research is supported by China Geosciences University(Beijing)
