A theorem on the strong asymptotic stability and determination of stabilizing controls (Q2765900)
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scientific article; zbMATH DE number 1695111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem on the strong asymptotic stability and determination of stabilizing controls |
scientific article; zbMATH DE number 1695111 |
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A theorem on the strong asymptotic stability and determination of stabilizing controls (English)
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1 August 2002
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strong asymptotic stability
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linear control
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stabilizability
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The authors study the asymptotic stability of a linear control system in Hilbert spaces NEWLINE\[NEWLINEx'= Ax+ Bu,NEWLINE\]NEWLINE where \(A\) is a skew-adjoint unbounded operator with discrete spectrum and \(u\) is a one-dimensional control. Here, a characterization of the strong asymptotic stability is proved in case of the feedback \(u=\langle q,x\rangle\). Also, the robustness of the stabilizing control is investigated.
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