Adaptive stabilization for a Kirchhoff-type nonlinear beam under boundary output feedback control |
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| Authors: | Bao-Zhu Guo Wei Guo |
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| Affiliation: | 1. Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, PR China;2. School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag-3, Wits-2050, Johannesburg, South Africa |
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| Abstract: | In this paper, the boundary stabilization for a Kirchhoff-type nonlinear beam with one end fixed and control at the other end is considered. A gain adaptive controller is designed in terms of measured end velocity. The existence and uniqueness of the classical solution of the closed-loop system are justified. The exponential stability of the system is obtained. |
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| Keywords: | 35L75 37L15 35B35 93C20 93D15 93D21 |
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