Existence and Exponential Stability for a Euler-Bernoulli Beam Equation with Memory and Boundary Output Feedback Control Term

被引：29

作者：

Park, Jong Yeoul ^{[3
]}

Kang, Yong Han ^{[2
]}

Kim, Jung Ae ^{[1
]}

机构：

[1] Natl Inst Math Sci, Taejon, South Korea

[2] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

[3] Pusan Natl Univ, Coll Sci, Dept Math, Pusan 609735, South Korea

来源：

ACTA APPLICANDAE MATHEMATICAE | 2008年 / 104卷 / 03期

关键词：

Existence of solution; Dynamic feedback stabilization; Euler-Bernoulli beam equation; Output feedback control term; Memory term; Galerkin method;

D O I：

10.1007/s10440-008-9257-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Euler-Bernoulli beam equation with memory and boundary output feedback control term. We prove the existence of solutions using the Galerkin method and then investigate the exponential stability of solutions by using multiplier technique.

引用

页码：287 / 301

页数：15

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