Brune sections in the non-stationary case

DOI10.1016/S0024-3795(01)00419-0zbMath0998.93019OpenAlexW2128883192MaRDI QIDQ1348103

Aalt Dijksma, Patrick Dewilde, Vladimir Bolotnikov, Daniel Alpay

Publication date: 15 May 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00419-0

zbMATH Keywords

dissipative systemsboundary interpolationinverse scattering problemtime-varying linear systems\(J\)-inner functionsBrune sectionsZadeh extension

Mathematics Subject Classification ID

Linear systems in control theory (93C05) 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) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Linear equations (linear algebraic aspects) (15A06) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

• Topics in interpolation theory of rational matrix-valued functions
• Lossless inverse scattering, digital filters, and estimation theory
• Directional interpolation approach to H<sup>∞</sup>-Optimization and robust stabilization
• Sections de Brune en théorie des systèmes non stationnaires
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