Digraph based determination of Jordan block size structure of singular matrix pencils

DOI10.1016/S0024-3795(97)10023-4zbMath0934.15012MaRDI QIDQ1307226

Kurt J. Reinschke, Klaus Röbenack

Publication date: 26 April 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

impulse controllabilitysingular matrix pencilJordan block size structurelinear time-invariant differential algebraic equations

Mathematics Subject Classification ID

Controllability (93B05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Control/observation systems governed by ordinary differential equations (93C15) Directed graphs (digraphs), tournaments (05C20) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items

Generic canonical form of pairs of matrices with zeros. ⋮ On generalized inverses of singular matrix pencils ⋮ The generic canonical form of a regular structured matrix pencil ⋮ Unnamed Item

Cites Work

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• The computation of Kronecker's canonical form of a singular pencil
• Systems analysis by graphs and matroids. Structural solvability and controllability
• The height characteristic of block triangular matrices
• Singular control systems
• Graph-theoretic approach to symbolic analysis of linear descriptor systems
• Path coverings of graphs and height characteristics of matrices
• Graph-theoretically determined Jordan-block-size structure of regular matrix pencils
• Digraph characterization of structural controllability for linear descriptor systems
• The relation between the Jordan structure of a matrix and its graph
• A generalized state-space for singular systems
• Solvability, controllability, and observability of continuous descriptor systems
• Multivariable Control
• Structural properties of linear dynamical systems

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