Column reduced rational matrix functions with given null-pole data in the complex plane

DOI10.1016/0024-3795(94)90199-6zbMath0809.15010OpenAlexW1995764154MaRDI QIDQ1329972

Joseph A. Ball, Marinus A. Kaashoek, Jeongook Kim, Gilbert J. Groenewald

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90199-6

zbMATH Keywords

Wiener-Hopf factorizationmatrix polynomialsSylvester equationnull-pole triplecolumn reduced rational matrix functionprescribed null-pole data

Mathematics Subject Classification ID

Factorization of matrices (15A23) Pole and zero placement problems (93B55) Matrix equations and identities (15A24) Matrices over function rings in one or more variables (15A54)

Related Items (7)

Reconstruction of a rational nonsquare matrix function from local data ⋮ The Rational Interpolation Problem: Grassmannian and Loewner-Matrix Approaches ⋮ \(J\)-pseudo-spectral and \(J\)-inner-pseudo-outer factorizations for matrix polynomials ⋮ Bitangential interpolation problems for symmetric rational matrix functions ⋮ Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems ⋮ Hermite's formula for vector polynomial interpolation with applications to structured matrices ⋮ Stability and McMillan degree for rational matrix interpolants

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• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• On canonical forms for linear constant systems
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• Invariant Description of Linear, Time-Invariant Controllable Systems

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