Null/pole interpolation problem in the class \(\mathcal {RI}\) of rational functions intertwining solutions of linear differential equations

DOI10.1007/S11785-013-0352-0zbMath1320.47008OpenAlexW2027886224MaRDI QIDQ2514167

Victor Vinnikov, Andrey Melnikov

Publication date: 2 February 2015

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

Full work available at URL: https://doi.org/10.1007/s11785-013-0352-0

zbMATH Keywords

linear systemsrational matrix functionsystem realizationvesselsnull-pole interpolation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Pole and zero placement problems (93B55) Algebraic methods (93B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (3)

Solution of the Korteweg-de Vries equation on the line with analytic initial potential ⋮ Classification of KdV vessels with constant parameters and two dimensional outer space ⋮ On construction of solutions of evolutionary nonlinear Schrödinger equation

Cites Work

• Finite-dimensional Sturm-Liouville vessels and their tau functions
• A Schur algorithm for transfer function of over-determined conservative systems, invariant in one direction
• Interpolation of rational matrix functions
• Schur algorithm in the class \({\mathcal{SI}}\) of \(J\)-contractive functions intertwining solutions of linear differential equations
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