Robust stability of \(C_0\)-semigroups and an application to stability of delay equations (Q1268739)
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scientific article; zbMATH DE number 1216731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robust stability of \(C_0\)-semigroups and an application to stability of delay equations |
scientific article; zbMATH DE number 1216731 |
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Robust stability of \(C_0\)-semigroups and an application to stability of delay equations (English)
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4 January 2000
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The authors define a stability radius for the generator of a \(C_{0}\)-semigroup with respect to given control and observation operators. They extend results by \textit{D. Hinrichsen} and \textit{A. J. Pritchard} [Syst. Control Lett. 8, 105-113 (1986; Zbl 0626.93054)] to Banach spaces and give an exact formula in the case of Hilbert spaces. This is applied to characterize exponential stability for equations with several discrete delays.
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stability radius
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generator
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\(C_0\)-semigroup
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control and observation operators
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exponential stability
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equations with several discrete delays
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0.92938995
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0.9049946
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0.9033642
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0.90034634
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0.8991986
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0.89531684
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