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

共 50 条

[21] BOUNDARY FEEDBACK STABILIZATION FOR THE INTRINSIC GEOMETRICALLY EXACT BEAM MODEL
Rodriguez, Charlotte
Leugering, Gunter
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (06) : 3533 - 3558
[22] Stabilization of the Timoshenko Beam System with Restricted Boundary Feedback Controls
Dongyi Liu
Liping Zhang
Zhongjie Han
Genqi Xu
[J]. Acta Applicandae Mathematicae, 2016, 141 : 149 - 164
[23] UNIFORM STABILIZATION OF THE WAVE-EQUATION BY NONLINEAR BOUNDARY FEEDBACK
ZUAZUA, E
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1990, 28 (02) : 466 - 477
[24] Stabilization of wave equation with variable coefficients by nonlinear boundary feedback
Wu, Jieqiong
Li, Shengjia
[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 24 (05) : 875 - 882
[25] Nonlinear boundary feedback stabilization of dynamic elasticity with thermal effects
Lasiecka, I
[J]. SHAPE OPTIMIZATION AND OPTIMAL DESIGN, 2001, 216 : 333 - 354
[26] UNIFORM STABILIZATION OF A THIN ELASTIC PLATE BY NONLINEAR BOUNDARY FEEDBACK
LAGNESE, JE
[J]. ADVANCES IN COMPUTING AND CONTROL, 1989, 130 : 305 - 317
[27] Stabilization of wave equation with variable coefficients by nonlinear boundary feedback
Jieqiong Wu
Shengjia Li
[J]. Journal of Systems Science and Complexity, 2011, 24 : 875 - 882
[28] UNIFORM STABILIZATION OF A THIN ELASTIC PLATE BY NONLINEAR BOUNDARY FEEDBACK
LAGNESE, JE
[J]. LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1989, 130 : 305 - 317
[29] Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback
Do, K. D.
[J]. JOURNAL OF SOUND AND VIBRATION, 2018, 422 : 278 - 299
[30] Boundary stabilization of a nonlinear shallow beam:: Theory and numerical approximation
Muench, Arnaud
Pazoto, Ademir Fernando
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 10 (01): : 197 - 219

← 1 2 3 4 5 →