Feedback control of the Kuramoto-Sivashinsky equation (Q1969875)
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scientific article; zbMATH DE number 1417471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Feedback control of the Kuramoto-Sivashinsky equation |
scientific article; zbMATH DE number 1417471 |
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Feedback control of the Kuramoto-Sivashinsky equation (English)
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19 March 2000
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The KSE partial derivative equation is considered, with periodic boundary conditions and with a parameter generating the instability. Linear state feedback controllers are designed that achieve stabilization for every initial condition. Then, linear finite-dimensional dynamic output feedback controllers are derived via ODE approximations. Numerical results confirm the proposed control method.
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Kuramoto-Sivashinsky equation
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stabilization
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ODE approximations
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