Factorization of matrix polynomials and rational matrices (Q677585)

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scientific article; zbMATH DE number 998449
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Factorization of matrix polynomials and rational matrices
scientific article; zbMATH DE number 998449

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    Factorization of matrix polynomials and rational matrices (English)
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    4 May 1997
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    In this article the author uses the (old) idea of writing the spectral density \(\Phi\) as \(N^*N+ D^*D\), where \(N/D\) is the transfer of a stable system. Next by using a minimal state-space realization of \(N/D\) and solving the corresponding algebraic Riccati equation, the spectral factor of \(\Phi\) is obtained.
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    Riccati equation
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    spectral factor
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