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Transformation of a PMD into an implicit system using minimal realizations of its transfer function matrix in terms of finite and infinite spectral data - MaRDI portal

Transformation of a PMD into an implicit system using minimal realizations of its transfer function matrix in terms of finite and infinite spectral data (Q1916937)

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scientific article; zbMATH DE number 902658
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English
Transformation of a PMD into an implicit system using minimal realizations of its transfer function matrix in terms of finite and infinite spectral data
scientific article; zbMATH DE number 902658

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    Transformation of a PMD into an implicit system using minimal realizations of its transfer function matrix in terms of finite and infinite spectral data (English)
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    14 July 1996
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    Given the finite and infinite Jordan pairs of a polynomial matrix \(A(s)\), a simple algorithm is given for finding a realization for the inverse \(A^{-1}(s)\). Then an algorithm for finding the realization of minimal degree is given.
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    Jordan pairs
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    polynomial matrix
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    realization
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    inverse
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    realization of minimal degree
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