Euler-Bernoulli梁边界反馈控制系统的Riesz基生成问题

On Riesz Basis of Euler-Bernoulli Beam System by Boundary Feedback Controls

本文用基扰动的方法，证明了由速度和角速度组成的边界反馈Ｅｕｌｅｒ－Ｂｅｒｎｏｕｌｌｉ梁振动系统的广义本征元生成状态空间Ｈ的Ｒｉｅｓｚ基，从而给出了振动系统最优指数衰减率的计算公式，

Using the method of basis perturbation, we show that the generalized eigenfunctions of a flexible Euler-Bernoulli beam system with boundary feedback consisting of velocity and angular velocity form a Riesz basis for the state space H, and give the computational fomula of optimal exponential decay rate of the system.