Generalizations of the Hermite-Biehler theorem: The complex case (Q1593655)
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scientific article; zbMATH DE number 1556770
| Language | Label | Description | Also known as |
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| English | Generalizations of the Hermite-Biehler theorem: The complex case |
scientific article; zbMATH DE number 1556770 |
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Generalizations of the Hermite-Biehler theorem: The complex case (English)
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19 September 2001
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The Hermite-Biehler theorem gives necessary and sufficient conditions for the Hurwitz stability of a polynomial in terms of certain interlacing conditions. The authors extend their earlier generalisation of the Hermite-Biehler theorem for real, not necessarily Hurwitz polynomials [Linear Algebra Appl. 302-303, 135-153 (1999; Zbl 0949.15037)] to the domain of polynomials with complex coefficients.
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Hermite-Biehler theorem
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Hurwitz stability
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interlacing conditions
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polynomials with complex coefficients
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