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Conditions for internal stability of two-dimensional systems - MaRDI portal

Conditions for internal stability of two-dimensional systems (Q1082319)

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scientific article; zbMATH DE number 3972766
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Conditions for internal stability of two-dimensional systems
scientific article; zbMATH DE number 3972766

    Statements

    Conditions for internal stability of two-dimensional systems (English)
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    1986
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    The numerical range and the generalized spectral radius are extended to two matrices. It is shown that: 1) the generalized spectral radius is not greater than the generalized numerical radius; 2) the Fornasini- Marchesini model is stable if the generalized numerical radius is less than unity.
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    internal stability
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    two-dimensional systems
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    numerical range
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    generalized spectral radius
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