Factorizations of and extensions to J-unitary rational matrix functions on the unit circle

DOI10.1007/BF01204239zbMath0792.47012OpenAlexW2027363404WikidataQ114234017 ScholiaQ114234017MaRDI QIDQ1187747

Israel Gohberg, Marinus A. Kaashoek, André C. M. Ran

Publication date: 23 July 1992

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

Full work available at URL: https://doi.org/10.1007/bf01204239

zbMATH Keywords

minimal realizationrational matrix functionMcMillan degreeminimal completionsminimal factorizationsDarlington synthesisfactorization of \(J\)-unitary functions into \(J\)-unitary factorsinvertible Hermitian matrix

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

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Cites Work

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• Matrices and indefinite scalar products
• Minimal factorization of matrix and operator functions
• Frequency theorem and the Lure equation
• Interpolation of rational matrix functions
• Hermitian solutions of the discrete algebraic Riccati equation
• Existence and uniqueness theorems for the algebraic Riccati equation
• Input–Output Description of Roomy Systems

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