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Existence and Exponential Stability for a Euler-Bernoulli Beam Equation with Memory and Boundary Output Feedback Control Term |
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| Authors: | Jong Yeoul Park Yong Han Kang Jung Ae Kim |
| Affiliation: | (1) Department of Mathematics College of Science, Pusan National University, Kumjung, Pusan, 609-735, South Korea;(2) Department of Mathematics, University of Ulsan, Ulsan, 680-749, South Korea;(3) National Institute for Mathematical Sciences, 3F TowerKoreana 628 Daeduk-Boulevard, Yuseong-Gu Daejeon, South Korea |
| Abstract: | 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. This work was supported by grant number KRF-2005-202-C00030 from the Korea Research Foundation. This work was supported by National Institute for Mathematical Sciences. |
| Keywords: | Existence of solution Dynamic feedback stabilization Euler-Bernoulli beam equation Output feedback control term Memory term Galerkin method |
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