Model-order reductions for MIMO systems using global Krylov subspace methods

DOI10.1016/j.matcom.2007.09.007zbMath1165.65011OpenAlexW1967774117MaRDI QIDQ1010040

Wu-Shiung Feng, Ming-Hong Lai, Chia-Chi Chu

Publication date: 3 April 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.09.007

zbMATH Keywords

numerical examplesLanczos methodPadé approximationsArnoldi methodmodel-order reductionmultiple points moment matchingrational Krylov subspace method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (12)

A global rational Arnoldi method for model reduction ⋮ \(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold ⋮ A trust-region method for optimal H₂ model reduction of discrete-time dynamical systems ⋮ \(H_2\) order-reduction for bilinear systems based on Grassmann manifold ⋮ Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials ⋮ Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials ⋮ Parallel model order reduction based on block discrete Fourier transform and Krylov subspace for parametric systems ⋮ Adaptive rational Krylov subspaces for large-scale dynamical systems ⋮ AN ITERATIVE MODEL ORDER REDUCTION METHOD FOR LARGE-SCALE DYNAMICAL SYSTEMS ⋮ A fully adaptive rational global Arnoldi method for the model-order reduction of second-order MIMO systems with proportional damping ⋮ Selection of reduction parameters for complex plant MIMO LTI models using the evolutionary algorithm ⋮ Structure preserving model-order reductions of MIMO second-order systems using Arnoldi methods

Uses Software

• benchmodred

Cites Work

• Unnamed Item
• Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs
• Global FOM and GMRES algorithms for matrix equations
• A rational Lanczos algorithm for model reduction
• An Arnoldi based algorithm for large algebraic Riccati equations
• An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems
• Projection methods for large Lyapunov matrix equations
• On projection-based algorithms for model-order reduction of interconnects
• The global Hessenberg and CMRH methods for linear systems with multiple right-hand sides

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