Interpolatory Methods for $$\mathcal{H}_{\infty }$$ Model Reduction of Multi-Input/Multi-Output Systems

DOI10.1007/978-3-319-58786-8_22zbMath1384.93015arXiv1610.01039OpenAlexW2529175496MaRDI QIDQ4637171

Serkan Gugercin, Christopher A. Beattie, Alessandro Castagnotto

Publication date: 18 April 2018

Published in: Model Reduction of Parametrized Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01039

zbMATH Keywords

complex Chebyshev approximation\(\mathcal{H}_{\infty}\)-approximationsinterpolatory \(\mathcal{H}_2\)-optimal model reductionlarge scale linear dynamical systemsmultiple inputs and multiple outputs (MIMO)

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) (H^infty)-control (93B36) Linear systems in control theory (93C05) System structure simplification (93B11) Numerical interpolation (65D05) Large-scale systems (93A15)

Related Items (3)

A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems ⋮ Relative error-based time-limited \(\mathcal{H}_2\) model order reduction via oblique projection ⋮ A new framework for H2-optimal model reduction

Uses Software

• sssMOR

Cites Work

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