Absolute stability of the Kirchhoff string with sector boundary control

Yuhu Wu; Xiaoping Xue; Tielong Shen

doi:10.1016/j.automatica.2014.05.006

Absolute stability of the Kirchhoff string with sector boundary control

Yuhu Wu
, Xiaoping Xue
, Tielong Shen

School of Mathematics

Harbin University of Science and Technology
Sophia University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1915-1921
Number of pages	7
Journal	Automatica
Volume	50
Issue number	7
DOIs	https://doi.org/10.1016/j.automatica.2014.05.006
State	Published - Jul 2014

Keywords

Absolute stability
Kirchhoff string
Sector condition

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10.1016/j.automatica.2014.05.006

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title = "Absolute stability of the Kirchhoff string with sector boundary control",

abstract = "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.",

keywords = "Absolute stability, Kirchhoff string, Sector condition",

author = "Yuhu Wu and Xiaoping Xue and Tielong Shen",

year = "2014",

month = jul,

doi = "10.1016/j.automatica.2014.05.006",

language = "英语",

volume = "50",

pages = "1915--1921",

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T1 - Absolute stability of the Kirchhoff string with sector boundary control

AU - Wu, Yuhu

AU - Xue, Xiaoping

AU - Shen, Tielong

PY - 2014/7

Y1 - 2014/7

N2 - 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.

AB - 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.

KW - Absolute stability

KW - Kirchhoff string

KW - Sector condition

UR - https://www.scopus.com/pages/publications/84904734840

U2 - 10.1016/j.automatica.2014.05.006

DO - 10.1016/j.automatica.2014.05.006

M3 - 文章

AN - SCOPUS:84904734840

SN - 0005-1098

VL - 50

SP - 1915

EP - 1921

JO - Automatica

JF - Automatica

IS - 7

ER -

Absolute stability of the Kirchhoff string with sector boundary control

Abstract

Keywords

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