Absolute stability of the Kirchhoff string with sector boundary control

被引：22

作者：

Wu, Yuhu ^{[1
]}

Xue, Xiaoping ^{[2
]}

Shen, Tielong ^{[3
]}

机构：

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

[2] Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China

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

来源：

AUTOMATICA | 2014年 / 50卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Kirchhoff string; Sector condition; Absolute stability; STABILIZATION; EXISTENCE; SYSTEMS; DECAY; BEAM;

D O I：

10.1016/j.automatica.2014.05.006

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 stability problem of the nonlinear Kirchhoff string with nonlinear boundary control. The nonlinear boundary control is the negative feedback of the transverse velocity of the string at one end, which satisfies a sector constraint. Employing the integral type multiplier method, we establish explicit absolute exponential stability of the Kirchhoff string system. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：1915 / 1921

页数：7

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