A model-order reduction method based on Krylov subspaces for MIMO bilinear dynamical systems

DOI10.1007/BF02832354zbMath1138.93019OpenAlexW2044423755MaRDI QIDQ2471337

Liang Bao, Yi-Min Wei, Yi-Qin Lin

Publication date: 22 February 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02832354

zbMATH Keywords

bilinear systemKrylov subspacereduced-order modelingmoment matching

Mathematics Subject Classification ID

Related Items (7)

Model order reduction for linear and nonlinear systems: a system-theoretic perspective ⋮ On the loss of orthogonality in the second-order Arnoldi process ⋮ Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces ⋮ Structure-preserving model reduction of second-order systems by Krylov subspace methods ⋮ A Krylov subspace method based on multi-moment matching for model order reduction of large-scale second order bilinear systems ⋮ 3 Model order reduction based on moment-matching ⋮ Model order reduction of second-order systems with nonlinear stiffness using Krylov subspace methods and their symmetric transfer functions

Cites Work

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• The effect of block red-black ordering on block ILU preconditioner for sparse matrices
• Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
• Convergence of parallel multisplitting methods using ILU factorizations.
• A projection method for model reduction of bilinear dynamical systems
• Model reduction methods based on Krylov subspaces

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