Grassmann invariants, matrix pencils, and linear system properties (Q1923173)
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scientific article; zbMATH DE number 931906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Grassmann invariants, matrix pencils, and linear system properties |
scientific article; zbMATH DE number 931906 |
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Grassmann invariants, matrix pencils, and linear system properties (English)
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12 November 1997
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For general singular matrix pencil \(sF-G\) the Grassmann invariants of the pencil are introduced as the column, row Grassmann representatives \(\mathbf{g}_c(F,G), \mathbf{g}_r(F,G)^t\), and their corresponding Plücker matrices \(P_c(F,G), P_r(F,G)\), and the properties of these invariants are established. The relationship between the Grassmann-Plücker invariants of a general rational transfer function matrix and the system matrix pencil of a minimal realization is derived.
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singular matrix pencil
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Plücker matrices
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Grassmann-Plücker invariants
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rational transfer function matrix
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0.9144108
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0.8991366
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0.8909382
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0.8868031
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0.88320935
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0.8760232
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