On Realizations of Rational Matrix Functions of Several Complex Variables

DOI10.1007/978-3-0348-8215-6_8zbMath1049.47007OpenAlexW2089190793MaRDI QIDQ4429629

M. F. Bessmertnyĭ

Publication date: 26 September 2003

Published in: Interpolation Theory, Systems Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-8215-6_8

zbMATH Keywords

realizationseveral complex variablesrational matrix functionlinear bundle of matriceslong resolventpositive real matrix functions

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Analytic circuit theory (94C05)

Related Items (5)

Herglotz functions of several quaternionic variables ⋮ Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables ⋮ Rational Cayley inner Herglotz-Agler functions: positive-kernel decompositions and transfer-function realizations ⋮ Convex invertible cones and positive real analytic functions ⋮ Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations

This page was built for publication: On Realizations of Rational Matrix Functions of Several Complex Variables