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J. Korean Math. Soc. 2012; 49(5): 947-964
Printed September 1, 2012
https://doi.org/10.4134/JKMS.2012.49.5.947
Copyright © The Korean Mathematical Society.
A memory type boundary stabilization for an Euler-Bernoulli beam under boundary output feedback control
Yong Han Kang, Jong Yeoul Park, and Jung Ae Kim
Catholic University of Daegu, Pusan National University, Hanbat National University
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.
Keywords: Euler-Bernoulli beam, output feedback control, memory, Galerkin method
MSC numbers: 49K20, 65N30, 93B52, 74G25, 74G30
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