A Schur algorithm for transfer function of over-determined conservative systems, invariant in one direction

DOI10.1016/J.CRMA.2009.04.029zbMath1169.47009OpenAlexW2070893007MaRDI QIDQ1028071

Andrey Melnikov, Daniel Alpay, Victor Vinnikov

Publication date: 30 June 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.04.029

zbMATH Keywords

transfer functionSchur algorithmover-determined system

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (9)

Representations of Lie algebras by non-skewselfadjoint operators in Hilbert space ⋮ Solution of the Korteweg-de Vries equation on the line with analytic initial potential ⋮ Schur algorithm in the class \({\mathcal{SI}}\) of \(J\)-contractive functions intertwining solutions of linear differential equations ⋮ Finite-dimensional Sturm-Liouville vessels and their tau functions ⋮ Classification of KdV vessels with constant parameters and two dimensional outer space ⋮ Construction of a Sturm-Liouville vessel using Gelfand-Levitan theory. On solution of the Korteweg-de Vries equation in the first quadrant ⋮ On construction of solutions of evolutionary nonlinear Schrödinger equation ⋮ Unbounded graph-Laplacians in energy space, and their extensions ⋮ Null/pole interpolation problem in the class \(\mathcal {RI}\) of rational functions intertwining solutions of linear differential equations

Cites Work

• UNITARY OPERATOR COLLIGATIONS AND THEIR CHARACTERISTIC FUNCTIONS
• Schur Parametrization of Positive Definite Block-Toeplitz Systems
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