Inversion of polynomial matrices via state-space (Q1855421)

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scientific article; zbMATH DE number 1864782
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Inversion of polynomial matrices via state-space
scientific article; zbMATH DE number 1864782

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    Inversion of polynomial matrices via state-space (English)
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    5 February 2003
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    The paper deals with the problem of computing the inverse of a polynomial matrix. Firstly, it is shown that this problem is equivalent to that of finding a minimal state-space realization for a irreducible matrix fraction description. Secondly, both cases of column reduced and non-column reduced polynomial matrices are considered. In addition, algorithms of easy implementation to compute the considered inverses are developed.
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    matrix polynomials
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    matrix fraction description
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    state-space methods
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    polynomial matrix inversion
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    algorithms
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