Parametrization of contractive block operator matrices and passive discrete-time systems

DOI10.1007/S11785-007-0014-1zbMath1129.47012OpenAlexW2001128091MaRDI QIDQ998125

Yury M. Arlinskiĭ, Hendrik S. V. de Snoo, Hassi, Seppo

Publication date: 10 August 2007

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://osuva.uwasa.fi/handle/10024/9816

zbMATH Keywords

parametrizationtransfer functioncontractive operatorpassive systemSz.-Nagy-Foias characteristic function

Mathematics Subject Classification ID

Minimal systems representations (93B20) Operator-theoretic methods (93B28) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Realizations from input-output data (93B15) Canonical models for contractions and nonselfadjoint linear operators (47A45) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (6)

Schur parameters, Toeplitz matrices, and Kreĭn shorted operators ⋮ Minimal passive realizations of generalized Schur functions in Pontryagin spaces ⋮ Compressed resolvents, Schur functions, Nevanlinna families and their transformations ⋮ Passive discrete-time systems with a Pontryagin state space ⋮ Passive linear discrete-time systems: characterization through structure ⋮ Completion, extension, factorization, and lifting of operators

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