Boundary feedback stabilization of nonlinear beam models

被引：0

作者：

Hegarty, Gareth ^{[1
]}

Taylor, Stephen ^{[1
]}

机构：

[1] Univ Auckland, Dept Math, Auckland 1, New Zealand

来源：

Control Methods in PDE-Dynamical Systems | 2007年 / 426卷

关键词：

Eider-Bernoulli; Rayleigh; boundary feedback stabilization; nonlinear; boundary control;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we consider the large amplitude planar motion of a cantilevered beam with a feedback force and/or torque (proportional and acting opposite to the velocity/angular velocity respectively) applied at the free end. We derive nonlinear equations of motion for such a beam based upon certain natural geometric assumptions. We then prove the existence of weak solutions for these equations, and that a particular class of weak solution is uniformly exponentially stable.

引用

页码：243 / 253

页数：11

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