A state space approach to canonical factorization with applications

DOI10.1007/978-3-7643-8753-2zbMath1203.47001OpenAlexW385453205MaRDI QIDQ2469786

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

Publication date: 8 February 2008

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8753-2

zbMATH Keywords

canonical factorizations Riccati equation Wiener-Hopf integral equation state space method H-infinity control rational Nehari problem

Mathematics Subject Classification ID

Deterministic scheduling theory in operations research (90B35) Matrix equations and identities (15A24) Operator-theoretic methods (93B28) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Equations involving linear operators, with operator unknowns (47A62) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Canonical forms, reductions, classification (15A21) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Real rational functions (26C15)

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