On the theory of passive resistance systems with losses of scattering channels

DOI10.1007/S10958-009-9286-5zbMath1196.47011OpenAlexW2040811209MaRDI QIDQ1036952

Damir Z. Arov, Natalia Rozhenko

Publication date: 13 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9286-5

zbMATH Keywords

resistance matrixlosses of scattering channelspassive resistance systems

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

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On the relation between the Darlington realizations of matrix functions from the Carathéodory class and their \(J_{p,r}\)-inner SI-dilations

Cites Work

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• Passive linear stationary dynamic systems
• Minimal and optimal linear discrete time-invariant dissipative scattering systems
• Tests for the similarity of all minimal passive realizations of a fixed transfer function (scattering or resistance matrix)
• Passive impedance systems with losses of scattering channels

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