Minimal state-space realization for a class of linear, discrete, nD, SISO systems

DOI10.1080/00207170110065901zbMath1035.93015OpenAlexW2031313760MaRDI QIDQ3151462

Krzysztof Gałkowski

Publication date: 16 October 2002

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170110065901

zbMATH Keywords

companion matrixnD systemstransfer functionsminimal realizationsmulti-linear polynomialsSystem equivalenceelementary operation algorithmmultivariable bilinear transformvariable inversion

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Minimal systems representations (93B20)

Related Items (9)

Notes on minimal realizations of multidimensional systems ⋮ Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables ⋮ Rational hyperholomorphic functions in \(\mathbb R^4\) ⋮ Triangular realization of rational functions of \(N\) complex variables ⋮ A realization theorem for rational functions of several complex variables ⋮ Minimal realisations of odd transfer functions for first-degree nD systems ⋮ The absolutely minimal realizations for first-degree \(n\)D SISO systems ⋮ Realizations of non‐commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras ⋮ Realizations of non-commutative rational functions around a matrix centre. II: The lost-abbey conditions

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