Exponential Stability of a Non-homogeneous Rotating Body-Beam System with Variable Coefficients

摘要：

　　In this paper,we consider a system of a flexible beam attached to the center of a rotating rigid disk.The disk rotates freely around its axis with a non-uniform angular velocity and the motion of the beam with non-homogeneous spatial coefficients is confined to a plane perpendicular to the disk.The system can be exponentially stabilized under the boundary feedback and the torque control.Furthermore,Riesz basis property can be proved for the closed-loop system with uniform angular velocity by the method of spectral analysis.

关键词： Rotating body-beam Nonhomogeneous coefficients Dynamic boundary control Exponential stability Riesz basis Spectral analysis

作者: CHEN Xin WANG Jun-Min

作者单位: School of Mathematics,Beijing Institute of Technology,Beijing 100081,P.R.China;School of Applied Sci School of Mathematics,Beijing Institute of Technology,Beijing 100081,P.R.China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2652-2657

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）