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.
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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.
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Park, J.Y., Kang, Y.H. & Kim, J.A. Existence and Exponential Stability for a Euler-Bernoulli Beam Equation with Memory and Boundary Output Feedback Control Term. Acta Appl Math 104, 287–301 (2008). https://doi.org/10.1007/s10440-008-9257-8
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DOI: https://doi.org/10.1007/s10440-008-9257-8
Keywords
- Existence of solution
- Dynamic feedback stabilization
- Euler-Bernoulli beam equation
- Output feedback control term
- Memory term
- Galerkin method