Finite element approximation of the nonlinear Kirchhoff string with boundary control

被引：0

作者：

Wu, Yuhu ^{[1
,2
]}

Shen, Tielong ^{[2
]}

机构：

[1] Harbin Univ Sci & Technol, Dept Math, Harbin, Peoples R China

[2] Sophia Univ, Dept Mech Engn, Tokyo 102, Japan

来源：

2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年

关键词：

Kirchhoff string; Boundary control; Sector condition; Finite element method; STABILIZATION; EXISTENCE; DECAY; BEAM;

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：

This paper addresses the finite element approximation problem of a nonlinear Kirchhoff string with the nonlinear boundary control. The nonlinear boundary control is the negative feedback of the transversal velocity of the string at one end, which satisfies a sector constrain. Based on the equivalent variational formulation of the nonlinear string equations, the finite element approximation of the Kirchhoff string with boundary control input is derived in the Lagrange polynomial space of degree 1. Simulation examples are presented to show the effectiveness of our main result.

引用

页码：2682 / 2687

页数：6

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