Stabilization of Nonuniform Euler-Bernoulli Beam with Locally Distributed Feedbacks  

作　　者：Xian-bing CAO Qing-xu YAN 

机构地区：[1]Department of Mathematics,School of Sciences,Beijing Technology and Business University,Beijing 100048,China [2]Information Engineering School,China Geosciences University,Beijing 100083,China

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第1期131-138,共8页应用数学学报（英文版）

基　　金：Supported by Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (No. 201102);Beijing Natural Science Foundation (No. 1052007)

摘　　要：In this article, we study the stabilization problem of a nonuniform Euler-Bernoulli beam with locally distributed feedbacks. Firstly, using the semi-group theory, we establish the well-posedness of the associated closed loop system. Then by proving the uniqueness of the solution of a related ordinary differential equations, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise frequency domain multiplier method, we prove that the corresponding closed loop system can be exponentially stabilized by only one of the two distributed feedback controls proposed in this paper.

关 键 词：nonuniform Euler-Bernoulli beam linear locally distributed feedback control linear semigroup exponential stability piecewise multiplier method 

分 类 号：O231.3[理学—运筹学与控制论] TP271[理学—数学]