A Subspace Framework for ${\mathcal H}_\infty$-Norm Minimization

DOI10.1137/19M125892XzbMath1461.93123arXiv1905.04208WikidataQ115214758 ScholiaQ115214758MaRDI QIDQ5853713

Nicat Aliyev, Peter Benner, Emre Mengi, Matthias Voigt

Publication date: 11 March 2021

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04208

zbMATH Keywords

descriptor systemssingular valuesHermite interpolationlarge scalemodel order reductionreduced basisgreedy search\(\mathcal{H}_\infty \)-norm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) (H^infty)-control (93B36) System structure simplification (93B11) Numerical interpolation (65D05)

Related Items (6)

Derivative Interpolating Subspace Frameworks for Nonlinear Eigenvalue Problems ⋮ Large-Scale Estimation of Dominant Poles of a Transfer Function by an Interpolatory Framework ⋮ Multifidelity Robust Controller Design with Gradient Sampling ⋮ Subspace method for the estimation of large-scale structured real stability radius ⋮ Approximation of stability radii for large-scale dissipative Hamiltonian systems ⋮ Structure-preserving interpolation of bilinear control systems

Uses Software

• GRANSO

Cites Work

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• Parameter preserving model order reduction for MEMS applications
• Boundary Condition Independent Thermal Model

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