On the eigenvalue estimation for solution to Lyapunov equation (Q716104)
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scientific article; zbMATH DE number 5880134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the eigenvalue estimation for solution to Lyapunov equation |
scientific article; zbMATH DE number 5880134 |
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On the eigenvalue estimation for solution to Lyapunov equation (English)
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19 April 2011
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The authors obtain some eigenvalue inequalities for the positive semidefinite solution \(X\) of the perturbed Lyapunov matrix equation \(A^TXA-X=-Q\). Such equations have applications in control theory and linear system stability. The main tool in obtaining these inequalities are the inequalities due to Lidskii-Wielandt.
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Lyapunov matrix equation
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eigenvalue inequalities
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singular value
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characteristic estimation
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Lidskii-Wielandt inequality
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0.91728157
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0.9105749
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0.90278256
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0.8970655
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0.89644575
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