Grassmann invariants, matrix pencils, and linear system properties
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.
scientific article; zbMATH DE number 931906
scientific article