Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization (Q1007050)
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scientific article; zbMATH DE number 5533537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization |
scientific article; zbMATH DE number 5533537 |
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Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization (English)
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26 March 2009
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In the present paper, we exhaustively solve the problem of boundary control by the displacement \(u(0,t)=\mu(t)\) at the end \(x=0\) of the string in the presence of a model nonlocal boundary condition of one of four types relating the values of the displacement \(Au(x,t)\) or its derivative \(u_x(x,t)\) at the boundary point \(x=l\) of the string to their values at some interior point \(\mathring x\).
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generalized solution
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wave equation
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string vibration
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boundary control
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