Some a posteriori error bounds for reduced order modelling of (non-)parametrized linear systems / Lihong Feng, Athanasios C. Antoulas, Peter Benner
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Some a posteriori error bounds for reduced order modelling of (non-)parametrized linear systems
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870924060
URN
urn:nbn:de:gbv:3:2-64833
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, October 14, 2015
Content
1 Online-Ressource (28 Seiten = 0,6 MB) : Diagramme
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Language
eng
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Abstract
Abstract: We propose a posteriori error bounds for reduced-order models of non-parametrized linear time invariant (LTI) systems and parametrized LTI systems. The error bounds estimate the errors of the transfer functions of the reduced models, and are independent of the model reduction methods used. It is shown that for some special non-parametrized LTI systems, particularly efficiently computable error bounds can be derived. According to the error bounds, reduced models of both non-parametric and parametric systems, computed by Krylov subspace based model reduction methods, can be obtained automatically and reliably. Simulations for several examples from engineering applications have demonstrated the robustness of the error bounds.
Series
Max Planck Institute Magdeburg Preprints ; 15-17 ppn:870173030