An alternative system of structural invariants of quadruples of matrices

DOI10.1016/S0024-3795(98)10227-6zbMath0936.93025MaRDI QIDQ1300848

M. Dolors Magret, Maria Isabel García-Planas

Publication date: 14 March 2000

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

zbMATH Keywords

equivalenceinvariantsfeedback grouplinear control systemlinear time-invariant systems\(\rho\)-numbers

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Canonical structure (93B10) Transformations (93B17) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

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Cites Work

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• The computation of Kronecker's canonical form of a singular pencil
• Points of Continuity of the Kronecker Canonical Form
• On the Segré, Weyr characteristics of right (left) regular matrix pencils
• Right, left characteristic sequences and column, row minimal indices of a singular pencil
• On the determination of the Smith-Macmillan form of a rational matrix from its Laurent expansion
• Structural Invariants of Linear Multivariable Systems
• The singular pencil of a linear dynamical system†