Poles, zeros, and sheaf cohomology

DOI10.1016/S0024-3795(01)00467-0zbMath1096.93014MaRDI QIDQ1611934

Bostwick F. Wyman

Publication date: 28 August 2002

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

zbMATH Keywords

Pole moduleSheaf cohomologyWedderburn-Forney space transfer functionZero-module

Mathematics Subject Classification ID

Eigenvalue problems (93B60)

Related Items (1)

(Generalised) autoregressive models and their trajectories

Cites Work

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• On the zeros and poles of a transfer function
• Fast projection methods for minimal design problems in linear system theory
• A short elementary proof of Grothendieck's theorem on algebraic vectorbundles over the projective line
• Poles and zeros of matrices of rational functions
• Applications of vector bundles to factorization of rational matrices
• Linear system theory: An algebraist's point of view
• Linear constant coefficient differential (or difference) equations
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• The zero module and essential inverse systems
• Applications of Algebraic Geometry to Systems Theory: The M<scp>c</scp>Millan Degree and Kronecker Indices of Transfer Functions as Topological and Holomorphic System Invariants
• Research on system zeros: a survey
• ALGEBRAIC STRUCTURE OF LINEAR DYNAMICAL SYSTEMS, I. THE MODULE OF Σ

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