Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings

DOI10.1007/s11045-007-0025-0zbMath1167.93329OpenAlexW2114971216MaRDI QIDQ2271084

Dmitry S. Kaliuzhnyi-Verbovetskyi, Joseph A. Ball

Publication date: 6 August 2009

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-007-0025-0

zbMATH Keywords

dilationdissipative systemsconservative systemsformal power seriesmultidimensional systemnon-commutative systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Operator-theoretic methods (93B28)

Related Items

Noncommutative rational functions, their difference-differential calculus and realizations, Schur functions and their realizations in the slice hyperholomorphic setting, Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization, On domains of noncommutative rational functions, Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting, 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, Nevanlinna representations in several variables

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