Stabilization of a nonlinear Kirchhoff equation by boundary feedback control

被引：10

作者：

Kim, Daewook ^{[1
]}

Kang, Yong Han ^{[2
]}

Lee, Jae Bong ^{[3
]}

Ko, Gyu Ra ^{[1
]}

Jung, Il Hyo ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

[2] Catholic Univ Daegu, Inst Liberal Educ, Gyongsan 712702, Gyeongsangbuk D, South Korea

[3] E Sea Fisheries Res Inst, Fisheries Resources & Environm Div, Gangneung Si 210861, Gangwon Do, South Korea

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 2012年 / 77卷 / 01期

关键词：

Axially moving string; Boundary control; Kirchhoff string; Nonlinearity; Stability; VARYING SPEED; VIBRATION;

D O I：

10.1007/s10665-012-9547-z

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned with stabilization of an axially moving Kirchhoff string by boundary feedback control. We derive a nonlinear system describing transverse oscillation of the string using Hamilton's principle and prove exponential stabilization of the system by the direct Lyapunov method. The result shows that oscillation of a nonlinear axially moving Kirchhoff string can be suppressed by a new type of boundary feedback control.

引用

页码：197 / 209

页数：13

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