An algebraic principle for the stability of difference operators (Q1358983)
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scientific article; zbMATH DE number 1025919
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algebraic principle for the stability of difference operators |
scientific article; zbMATH DE number 1025919 |
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An algebraic principle for the stability of difference operators (English)
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3 November 1997
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The author gives necessary and sufficient algebraic criteria for the stability of \(N\)-dimensional difference systems of the form \(x(t)=Ax(t-t_1)+Bx(t-t_2)\) with two time delays (three when they are linearly dependent over the rationals). Here \(A\) and \(B\) are \(N\times N\) real matrices, and \(t_1>0\) and \(t_2>0\).
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difference operators
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algebraic criteria of stability
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difference systems
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