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Boundary stabilization of a thin circular cylindrical shell subject to axisymmetric deformation - MaRDI portal

Boundary stabilization of a thin circular cylindrical shell subject to axisymmetric deformation (Q1842544)

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scientific article; zbMATH DE number 749762
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Boundary stabilization of a thin circular cylindrical shell subject to axisymmetric deformation
scientific article; zbMATH DE number 749762

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    Boundary stabilization of a thin circular cylindrical shell subject to axisymmetric deformation (English)
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    22 May 1995
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    The optimal control of a unidimensional elastic structure, a thin circular cylindrical shell, subject to an axisymmetric deformation is studied. The problem is reexpressed as an evolution equation in a Hilbert space with given initial conditions. The author proves that this equation has a unique solution. When the system energy decreases exponentially, uniform stability of this solution is proved.
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    boundary stabilization
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    optimal control
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    elastic structure
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    cylindrical shell
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    uniform stability
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