Realizations of Non-commutative Rational Functions Around a Matrix Centre, II: The Lost-Abbey Conditions

In a previous paper the authors generalized classical results on minimal realizations of non-commutative (nc) rational functions, using nc Fornasini–Marchesini realizations which are centred at an arbitrary matrix point. In particular, it was proved that the domain of regularity of a nc rational fun...

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Veröffentlicht in:	Integral equations and operator theory 2023-03, Vol.95 (1), Article 1
Hauptverfasser:	Porat, Motke, Vinnikov, Victor
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Domains Mathematical analysis Mathematics Mathematics and Statistics Matrices (mathematics) Observability (systems) Rational functions Regularity
Online-Zugang:	Volltext
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