Interpolatory \(H_\infty \) model reduction

DOI10.1016/j.sysconle.2013.03.006zbMath1277.93020arXiv1107.5364OpenAlexW2288463543MaRDI QIDQ386242

Serkan Gugercin, Christopher A. Beattie, Garret M. Flagg

Publication date: 9 December 2013

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5364

zbMATH Keywords

interpolationlarge scale systemsoptimal Hankel norm approximationLoewner matrices\(H_\infty \) model reduction\(H_2/H_\infty \) approximationcomplex Chebyshev approximationrealization theory

Mathematics Subject Classification ID

(H^infty)-control (93B36) System structure simplification (93B11) Realizations from input-output data (93B15) Large-scale systems (93A15)

Related Items (8)

Model order reduction for linear and nonlinear systems: a system-theoretic perspective ⋮ \(\mathcal H_\infty\) filtering for time-invariant continuous-discrete linear systems ⋮ A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems ⋮ A Unifying Framework for Interpolatory \({\boldsymbol{\mathcal{L}_2}}\)-Optimal Reduced-Order Modeling ⋮ Relative error-based time-limited \(\mathcal{H}_2\) model order reduction via oblique projection ⋮ Interconnection-based model order reduction -- a survey ⋮ Interpolatory Methods for $$\mathcal{H}_{\infty }$$ Model Reduction of Multi-Input/Multi-Output Systems ⋮ Model order reduction based on general orthogonal polynomials in the time domain for coupled systems

Uses Software

• benchmodred

Cites Work

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