非均质一个分布的Timoshenko梁强渐近稳定性

The Asymptotical Stability of Nonhomogeneous Timoshenko Beam with One Locally Distributed Feedback

本文研究了非均质Timoshenko梁的稳定性。文献 [5 ]的结果是 :简支的一个局部分布控制的一致Timoshenko梁 ,当两波速相等时 ,系统是指数稳定的 ;当两波速不相等时 ,系统不是指数稳定的。本文证明了具有一个局部分布控制的非均质Timoshenko梁 ,无论波速相等与否 。

In this paper, We study the stability of nonhomogeneous Timoshenko beam. The result of paper[5] is that the system of uniform Timoshenko beam with one locally distributed feedback is exponentially stable when two wave speeds are equal and is not exponentially stable when two wave speeds are not equal. Our result is that that the system of nonhomogeneous Timoshenko beam with one locally distributed feedback is strongly asymptotically stable when two wave speeds are equal or not.