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Lower bounds for the abscissa of the stability of Schur stable matrices - MaRDI portal

Lower bounds for the abscissa of the stability of Schur stable matrices (Q1892276)

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scientific article; zbMATH DE number 762265
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Lower bounds for the abscissa of the stability of Schur stable matrices
scientific article; zbMATH DE number 762265

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    Lower bounds for the abscissa of the stability of Schur stable matrices (English)
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    8 June 1995
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    Linear discrete systems motivate this paper. Schur stability of polynomials and matrices are defined. Lower bounds for the abscissa of stability of Schur stable polynomials are well-known. Here, the eigenvalues of Schur stable matrices are estimated. The bounds are functions of the entries of the matrices. In two simple examples with \(2\times 2\)-matrices, the lower bounds are compared with the exact eigenvalues.
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    discrete systems
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    Schur stability
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    abscissa of stability
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    eigenvalues
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