The Loewner framework and transfer functions of singular/rectangular systems

DOI10.1016/j.aml.2015.10.011zbMath1364.93111OpenAlexW1862501815MaRDI QIDQ899483

Athanasios C. Antoulas

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.10.011

zbMATH Keywords

rational interpolationmodel reductionsingular systemstransfer functionsMoore-Penrose generalized inverseinterpolatory model reductiondata-driven model reductionLoewner frameworkDrazin generalized inverserectangular systems

Mathematics Subject Classification ID

System structure simplification (93B11) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (7)

Data-Driven Reduced Model Construction with Time-Domain Loewner Models ⋮ Data-Driven Model Order Reduction of Linear Switched Systems in the Loewner Framework ⋮ Minimal realization and approximation of commensurate linear fractional-order systems via Loewner matrix method ⋮ Preserving the DAE structure in the Loewner model reduction and identification framework ⋮ 6 The Loewner framework for system identification and reduction ⋮ Model Reduction of Bilinear Systems in the Loewner Framework ⋮ Interpolatory Methods for Generic BizJet Gust Load Alleviation Function

Uses Software

• Loewner

Cites Work

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• Model order reduction for linear and nonlinear systems: a system-theoretic perspective
• A framework for the solution of the generalized realization problem
• The Souriau-Frame algorithm and the Drazin pseudoinverse
• Approximation of Large-Scale Dynamical Systems

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