An Exterior Algebra Based Characterization of the Fundamental Subspaces of Singular Systems

Abstract

Abstract In this study, stria equivalence invariants of a matrix pencil sF-G and the basic families of the subspaces corresponding to these invariants are characterized by means of Exterior Algebra. These results are used to characterise some properties of the supremal (A.E.B) invariant subspace (is), supremal almost (E, A, B) is, supremal almost reachable subspace and supremal reachability subspace for Singular systems.