Adaptive stabilization for a Kirchhoff-type nonlinear beam under boundary output feedback control (Q858665)
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scientific article; zbMATH DE number 5115306
| Language | Label | Description | Also known as |
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| English | Adaptive stabilization for a Kirchhoff-type nonlinear beam under boundary output feedback control |
scientific article; zbMATH DE number 5115306 |
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Adaptive stabilization for a Kirchhoff-type nonlinear beam under boundary output feedback control (English)
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11 January 2007
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The authors consider a Kirchhoff-type nonlinear beam system with one end fixed and boundary control force applied at the other end. Using a constructive Galerkin approximation scheme, the existence and uniqueness of the classical solution for the system is proved. Then by an energy multiplier method, the exponential stability that is dependent on initial data is shown.
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nonlinear beam equation
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existence and uniqueness of solution
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dynamic feedback stabilization
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Galerkin approximation
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energy multiplier method
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exponential stability
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