非均质Euler-Bernoulli梁的边界反馈镇定问题(英文)

Boundary Feedback Stabilization of Nonuniform Euler-Bernoulli Beam

基于频域乘子方法,讨论非均质Euler-Bernoulli梁边界反馈镇定问题.利用黄发伦关于C0-半群指数稳定的判据和指数乘子技巧,证明了只用力或力矩反馈,由Euler-Bernoulli梁所决定的闭环系统可以指数稳定.

The boundary stabilization problem of a nonuniform Euler-Bernoulli beam is investigated based on the frequency domain multiplier method. By virtue of Huang's Theorem and exponential multiplier skills, it is proved that with only linear boundary moment feedback or force control at one end, the energy corresponding to the closed loop system can be exponentially stabilized.