带动态边界的非均匀Timoshenko梁的反馈镇定(英文)  

Feedback stabilization of nonuniform Timoshenko beam with dynamical boundary

作　　者：阎庆旭[1] 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：《控制理论与应用》2003年第5期673-677,共5页Control Theory & Applications

基　　金：supportedbytheNationalNaturalScienceFoundationofChina (60 1740 0 8) .

摘　　要：对于一端具负载的非均质Timoshenko梁 ,研究了其边界反馈镇定问题 .首先提出了一种边界反馈控制方案 ,建立了相应的闭环系统的适定性 .然后利用乘子法证明了 ,当两个边界反馈控制同时作用于梁的负载端时 ,闭环系统是指数稳定的 .The boundary feedback control problem for a nonuniform Timoshenko beam with a load at one end was studied. First, a boundary feedback control scheme was proposed, and the well-posedness of the corresponding closed loop system was established. Then by using the multiplier method, it was proved that the closed loop system was exponentially stable if two boundary feedback controls were applied simultaneously to the beam's tip where the load was carried.

关 键 词：边界反馈控制 动态边界 非均匀Timoshenko梁 反馈镇定 

分 类 号：O231[理学—运筹学与控制论]