自动化学报2005，Vol.31Issue(5)：772-778,7.
非均质Euler-bernoulli梁的局部反馈定问题
Locally Distributed Feedback Stabilization of Nonuniform Euler-Bernoulli Beam
摘要
Abstract
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.关键词
Nonuniform Euler-Bernoulli beam/linear locally distributed feedback control/linear semigroup/exponential stability/piecewise multiplier methodKey words
Nonuniform Euler-Bernoulli beam/linear locally distributed feedback control/linear semigroup/exponential stability/piecewise multiplier method分类
信息技术与安全科学引用本文复制引用
闫庆旭,侯瑞鸿,冯德兴,齐剑冷..非均质Euler-bernoulli梁的局部反馈定问题[J].自动化学报,2005,31(5):772-778,7.基金项目
Supported by National Natural Science Foundation of P.R. China (60334040, 60225003), China Geosciences University (Beijing)(200304) and the Research Committee of the Hong Kong Polytechnic University （60334040, 60225003）
