AN ITERATIVE MODEL ORDER REDUCTION METHOD FOR LARGE-SCALE DYNAMICAL SYSTEMS

DOI10.1017/S1446181117000049zbMath1373.93073OpenAlexW2604275067MaRDI QIDQ5370815

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Publication date: 20 October 2017

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181117000049

zbMATH Keywords

SVDlarge scale systemmodel order reductionKrylov methodmoment matching\(H_\infty\)GramianAORA

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Linear systems in control theory (93C05) System structure simplification (93B11) Large-scale systems (93A15)

Uses Software

• benchmodred

Cites Work

• Unnamed Item
• Adaptive rational interpolation: Arnoldi and Lanczos-like equations
• Adaptive rational Krylov subspaces for large-scale dynamical systems
• Model-order reductions for MIMO systems using global Krylov subspace methods
• A modified low-rank Smith method for large-scale Lyapunov equations
• Model reduction of state space systems via an implicitly restarted Lanczos method
• A rational Lanczos algorithm for model reduction
• An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems
• An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems
• Arnoldi model reduction for switched linear systems
• Approximation of Large-Scale Dynamical Systems

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