On the intersection of null spaces for matrix substitutions in a non-commutative rational formal power series

DOI10.1016/j.crma.2004.08.005zbMath1100.47011OpenAlexW2023674455MaRDI QIDQ704234

Dmitry S. Kaliuzhnyi-Verbovetzkyi, Daniel Alpay

Publication date: 13 January 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.08.005

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Matrix equations and identities (15A24) Linear operator methods in interpolation, moment and extension problems (47A57)

Related Items (4)

Noncommutative rational functions, their difference-differential calculus and realizations ⋮ Non-commutative positive kernels and their matrix evaluations ⋮ 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

Cites Work

• Minimal factorization of matrix and operator functions
• Matrices de Hankel
• Automata Studies. (AM-34)
• On the definition of a family of automata
• Un codage non commutatif pour certains systmes chantillonns non linaires
• A necessary and sufficient minimality condition for uncertain systems
• On formal power series representations for uncertain systems
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