A method for generating rational interpolant reduced order models of two-parameter linear systems

DOI10.1016/S0893-9659(99)00063-4zbMath0947.15001MaRDI QIDQ1808470

E. Grimme, Kyle A. Gallivan, Eric Michielssen, Daniel S. Weile

Publication date: 13 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Padé approximationmodel order reductionrational interpolantstwo-dimensional linear systemsgeneralized Krylov subspaces

Mathematics Subject Classification ID

Padé approximation (41A21) Linear equations (linear algebraic aspects) (15A06) Canonical forms, reductions, classification (15A21)

Related Items

Using Krylov-Padé model order reduction for accelerating design optimization of structures and vibrations in the frequency domain, Parametric domain decomposition for accurate reduced order models: applications of MP-LROM methodology, Multi-parameter polynomial order reduction of linear finite element models, Finite element analysis of linear boundary value problems with geometrical parameters, A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds, Model order reduction of random parameter-dependent linear systems, Data-driven combined state and parameter reduction for inverse problems, Interpolatory Rational Model Order Reduction of Parametric Problems Lacking Uniform Inf-Sup Stability, A parameterised model order reduction method for parametric systems based on Laguerre polynomials, Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition, Passivity preserving parametric model-order reduction for non-affine parameters, Stability-preserving parametric model reduction by matrix interpolation, Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates, Structure-preserving-based model-order reduction of parameterized interconnect systems, Solution of time-convolutionary Maxwell's equations using parameter-dependent Krylov subspace reduction, Parameter independent model order reduction, A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems, Parametric model order reduction of thermal models using the bilinear interpolatory rational Krylov algorithm, Parametric model order reduction based on parallel tensor compression

Cites Work

• Unnamed Item
• A rational Lanczos algorithm for model reduction
• Acceptable input sequences for singular 2-D linear systems
• General response formula and minimum energy control for the general singular model of 2-D systems
• Local controllability, reachability, and reconstructability of the general singular model of 2D systems
• A discrete state-space model for linear image processing
• Stabilization of singular 2-D continuous-discrete systems by state-feedback controllers