Further results on stability of \(\dot X(t) = AX(t) + BX(t-\tau{})\) (Q1199089)
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scientific article; zbMATH DE number 93410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Further results on stability of \(\dot X(t) = AX(t) + BX(t-\tau{})\) |
scientific article; zbMATH DE number 93410 |
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Further results on stability of \(\dot X(t) = AX(t) + BX(t-\tau{})\) (English)
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16 January 1993
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The author proves that the differential delay equation \(\dot x(t)=Ax(t)+Bx(t-\tau)\) is asymptotically stable if \(\text{det}(sI-A- Be^{-\tau s})\) does not have any zeros in a rectangle \(\Sigma\), where \(\Sigma\) is given in terms of \(\| B\|\) and the measure of \(A\) and \(-iA\).
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stability
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differential delay equation
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0.9996821
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0.89787364
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0.8847627
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