State space theory of automorphisms of rational matrix functions

DOI10.1007/BF01200324zbMath0754.15020OpenAlexW2002267450MaRDI QIDQ1194216

Leiba Rodman, Daniel Alpay, Joseph A. Ball, Israel Gohberg

Publication date: 27 September 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200324

zbMATH Keywords

conjugationlinear control theoryrational matrix functionsminimal factorizationsstate space theoryaction of automorphismsinverse- transposelinear fractional change of variable

Mathematics Subject Classification ID

Algebraic methods (93B25) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items

The two-sided residue interpolation in the Stieltjes class of matrix functions, Inverse spectral problems for difference operators with rational scattering matrix function, Bitangential interpolation problems for symmetric rational matrix functions, Representation theory and multilevel filters, Interpolation with symmetry and a Herglotz theorem in the bicomplex setting, Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables, \(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization, Two-sided residue interpolation in matrix H\(_{2}\) spaces with symmetries: conformal conjugate involutions

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