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``Reduced Polynomial Matrices” in Several Variables

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Publication:2862468
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DOI10.1137/120873339zbMath1275.93025OpenAlexW2047844713MaRDI QIDQ2862468

Vakhtang Lomadze

Publication date: 15 November 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120873339


zbMATH Keywords

Hilbert functiongraded modulecomplexity functionfiltered moduleLTID systemcolumn degree tablejet-modellag tablereduced polynomial resolutionstrict polynomial resolution


Mathematics Subject Classification ID

Linear systems in control theory (93C05) Minimal systems representations (93B20) Algebraic methods (93B25) Convolutional codes (94B10)


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The PBH test for multidimensional LTID systems ⋮ Proper representations of (multivariate) linear differential systems ⋮ The predictable degree property and minimality in multidimensional convolutional coding ⋮ Taylor approximations of multidimensional linear differential systems



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