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研究了Timoshenko梁的边界反馈控制,在某些非线性边界反馈控制作用下,首先利用非线性半群理论证明了闭环系统解的存在唯一性,然后证明了在此反馈控制作用下,梁的振动按时间的负幂衰减。
The boundary feedback control of Timoshenko beam is studied. Under certain nonlinear boundary feedback control, the existence and uniqueness of the closed-loop system are proved by using the nonlinear semigroup theory. Then it is proved that under the feedback control, the vibration of the beam Decay according to the negative power of time.