Minimal state-space realization for a class of linear, discrete, nD, SISO systems
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Publication:3151462
DOI10.1080/00207170110065901zbMath1035.93015OpenAlexW2031313760MaRDI QIDQ3151462
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
companion matrixnD systemstransfer functionsminimal realizationsmulti-linear polynomialsSystem equivalenceelementary operation algorithmmultivariable bilinear transformvariable inversion
Multivariable systems, multidimensional control systems (93C35) Minimal systems representations (93B20)
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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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