A MEMORY TYPE BOUNDARY STABILIZATION FOR AN EULER-BERNOULLI BEAM UNDER BOUNDARY OUTPUT FEEDBACK CONTROL

被引：12

作者：

Kang, Yong Han ^{[1
]}

Park, Jong Yeoul ^{[2
]}

Kim, Jung Ae ^{[3
]}

机构：

[1] Catholic Univ Daegu, Inst Libeal Educ, Gyongsan 712702, South Korea

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

[3] Hanbat Natl Univ, Dept Math Coll Sci, Taejon 305719, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 05期

关键词：

Euler-Bernoulli beam; output feedback control; memory; Galerkin method; ADAPTIVE STABILIZATION; EXPONENTIAL DECAY; NONLINEAR BEAM; FLEXIBLE-BEAM; EXISTENCE; EQUATION;

D O I：

10.4134/JKMS.2012.49.5.947

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the memory type boundary stabilization for an Euler-Bernoulli beam with one end fixed and control at the other end is considered. 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：947 / 964

页数：18

共 18 条

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[12] Existence and Exponential Stability for a Euler-Bernoulli Beam Equation with Memory and Boundary Output Feedback Control Term
Park, Jong Yeoul
Kang, Yong Han
Kim, Jung Ae
[J]. ACTA APPLICANDAE MATHEMATICAE, 2008, 104 (03) : 287 - 301
[13] Existence and uniform decay for Euler-Bernoulli beam equation with memory term
Park, JY
Kim, JA
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (14) : 1629 - 1640
[14] Patcheu S. K., 1997, J DIFFER EQUATIONS, V135
[15] Pathan M., 1999, J DIFFER EQUATIONS, V154, P5572
[16] Rivera JEM, 2000, MATH METHOD APPL SCI, V23, P41, DOI 10.1002/(SICI)1099-1476(20000110)23:1<41::AID-MMA102>3.0.CO
[17] 2-B
[18] Santos M. L., 2001, ELECT J DIFFERENTIAL, V2001, P1

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