Multiparametric dissipative linear stationary dynamical scattering systems: Discrete case. II: Existence of conservative dilations

DOI10.1007/BF01236289zbMath0948.47013MaRDI QIDQ1969964

Dmitry S. Kaliuzhnyi-Verbovetskyi

Publication date: 11 May 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

transfer functiondilationoperator-valued functionsgeneralized Schur classmultiparameter linear stationary dynamical systems

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Scattering theory of linear operators (47A40) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items

A von Neumann type inequality for certain domains in $\mathbf C^n$, Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings, Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting, On \(J\)-conservative scattering system realizations in several variables., Conservative input-state-output systems with evolution on a multidimensional integer lattice

Cites Work

• The von Neumann inequality for linear matrix functions of several variables
• On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
• Contributions to the Theory of Optimal Control. A General Procedure for the Computation of Switching Manifolds
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
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