Dynamic feedback control and exponential stabilization of a compound system |
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Authors: | Ying Feng Shang Gen Qi Xu |
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Institution: | Department of Mathematics, Tianjin University, Tianjin 300072, China |
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Abstract: | We studied the exponential stabilization problem of a compounded system composed of a flow equation and an Euler–Bernoulli beam, which is equivalent to a cantilever Euler–Bernoulli beam with a delay controller. We designed a dynamic feedback controller that stabilizes exponentially the system provided that the eigenvalues of the free system are not the zeros of controller. In this paper we described the design detail of the dynamic feedback controller and proved its stabilization property. |
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Keywords: | Compounded system Controller delay Euler&ndash Bernoulli beam Feedback control Exponential stabilization |
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