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
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
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页码:947 / 964
页数:18
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