自动化学报
自動化學報
자동화학보
ACTA AUTOMATICA SINICA
2005年
5期
772-778
,共7页
闫庆旭%侯瑞鸿%冯德兴%齐剑冷
閆慶旭%侯瑞鴻%馮德興%齊劍冷
염경욱%후서홍%풍덕흥%제검랭
Nonuniform Euler-Bernoulli beam%linear locally distributed feedback control%linear semigroup%exponential stability%piecewise multiplier method
In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop system. Then by proving the uniqueness of the solution to a related ordinary differential equation, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise multiplier method, we prove that, by either one distributed force feedback or a distributed moment feedback control, the closed loop system can be exponentially stabilized.
