具有耗散边界反馈的Timoshenko梁的镇定(英文)  

Stabilization of Timoshenko Beam with Dissipative Boundary Feedback

作　　者：阎庆旭[1] 冯德兴[1] 

机构地区：[1]中国科学院数学和系统科学研究院系统科学研究所,北京100080

出　　处：《控制理论与应用》2001年第3期353-357,共5页Control Theory & Applications

基　　金：supportedbytheNationalKeyProjectofChina

摘　　要：研究了具有线性耗散边界控制的Timoshenko梁的边界反馈镇定问题 .首先 ,在反馈系数矩阵B正定的前提下 ,我们证明了所论闭环系统是指数稳定的 .然后 ,对于反馈系数矩阵B半正定的情况 ,得到了闭环系统渐近稳定的几个充要条件 .The stabilization problem of a Timoshenko beam with some linear boundary feedback controls is studied. First, under the condition that the feedback coefficient matrix B is positive, the energy of the corresponding closed loop system is proven to be exponentially convergent to zero as time t→∞. Then, under the condition that rank (B)=1, some necessary and sufficient conditions for the corresponding closed loop system to be asymptotically stable are derived.

关 键 词：TIMOSHENKO梁 C0半群 指数稳定性 边界反馈镇定 闭环系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]