树状结构的弹性振动弦的节点反馈镇定  

Stabilization of Tree-Shaped Networks of Strings under Nodal Feedbacks

作　　者：杨坤一[1] 姚翠珍[1] 

机构地区：[1]北京理工大学应用数学系,北京100081

出　　处：《应用泛函分析学报》2005年第4期324-330,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(19971031)

摘　　要：考虑树状结构的弹性振动弦网络系统.运用频域上的能量乘子法证明了当根部固定时,其余节点的线性反馈控制可使得系统能量指数衰减且谱确定增长条件成立.A tree-shaped other nodals are controlled system. Using the energy system is exponentially sta network of vibrating elastic strings for which root nodal is clamped and is considered. The nodal feedback stabilizers are designed to stabilize the multiplier method in frequency domain, it is shown that the closed-loop ble. the spectrum-determining growth condition is also concluded.

关 键 词：弦方程 边界控制 稳定性 谱确定增长条件 

分 类 号：O177[理学—数学]