非均质Euler-Bernoulli梁的非线性耗散边界反馈镇定

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, energyperturbed 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 →∞.