非均质Timoshenko梁在局部耦合反馈下的指数稳定性(英文)  

Exponential Stability of Nonuniform Timoshenko Beam with Coupled Locally Distributed Feedbacks

作　　者：阎庆旭[1] 陈振国[2] 冯德兴[2] 

机构地区：[1]中国地质大学信息工程学院,北京100083 [2]中国科学院数学与系统科学研究院,北京100080

出　　处：《应用泛函分析学报》2003年第2期156-164,共9页Acta Analysis Functionalis Applicata

基　　金：SupportedbytheNationalNaturalScienceFoundationofChina(GrantNo.60174008)

摘　　要：　研究了非均质Timoshenko梁在局部耦合反馈下的指数稳定性.首先利用有界C0-半群渐近稳定性判据,证明了闭环系统是渐近稳定的,然后用频域乘子方法证明了闭环系统也是指数稳定的.The stabilization problem of a nonuniform Timoshenko beam system with coupled locally distributed feedback is studied. First, based on the criterion of the asymptotical stability of bounded C0 semigroups, it is shown that the energy corresponding to the closed loop system is asymptotically stable. Then, by virtue of frequency domain multiplier method, it is proved that the closed loop system is exponentially stable.

关 键 词：非均质Timoshenko梁 局部耦合反馈 指数稳定 有界C0-半群 渐近稳定性 闭环系统 频域乘子方法 适定性 渐进衰变 指数衰变 

分 类 号：O343.9[理学—固体力学] O175.21[理学—力学]