具有点反馈弯矩的Euler-Bernoulli梁的稳定性

Stabilization of Euler-Bernoulli Beam with a PointwiseFeedback Bending Moment

该文研究具有点反馈弯矩Euler-Bernoulli梁的稳定性。用线性算子半群方法证明了闭环系统的适定性,并应用算子谱特征得到了闭环系统的强渐近稳定性的充分必要条件。同时,给出了保守系统的几个能观性不等式。

This paper studies the stability of Euler- Bemoulli beam with a pointwise feedback bending moment . The authors prove well posedness of the closed loop system by the method of linear operators semigroup and show that strongly asymptotical stability of closed loop system by spectnan characteristics of the operator. Also the authors give some observability inequalities to conservative system.