A realization theorem for rational functions of several complex variables

DOI10.1016/S0167-6911(02)00326-2zbMath1157.93341OpenAlexW2008655799MaRDI QIDQ2503506

Daniel Alpay, Chen Dubi

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(02)00326-2

zbMATH Keywords

Realization theoryMulti-indexed systems

Mathematics Subject Classification ID

Realizations from input-output data (93B15) Meromorphic mappings in several complex variables (32H04)

Related Items (16)

Triangular representation of Fornasini-Marchesini systems ⋮ Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case ⋮ Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk ⋮ Gleason's problem associated to a real ternary algebra and applications ⋮ Elementary operation approach to Fornasini-Marchesini state-space model realization of multidimensional systems ⋮ Rational functions and realization theory: The hyperholomorphic case ⋮ Realization of multidimensional systems in Fornasini-Marchesini state-space model ⋮ An approach to multidimensional Fornasini-Marchesini state-space model realization w.r.t. columns of transfer matrices ⋮ Rational functions associated with the white noise space and related topics ⋮ Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables ⋮ Triangular realization of rational functions of \(N\) complex variables ⋮ Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting ⋮ A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini-Marchesini second model ⋮ A novel constructive procedure to low-order Fornasini-Marchesini model realization ⋮ Cascade representation and minimal factorization of multidimensional systems ⋮ Common eigenvector approach to exact order reduction for multidimensional Fornasini–Marchesini state-space models

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