Feng, LihongAntoulas, Athanasios C.Benner, Peter2017-12-192017-12-192017Feng, Lihong, Antoulas, Athanasios C. and Benner, Peter. "Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems." <i>ESAIM: M2AN,</i> 51, no. 6 (2017) EDP Sciences: 2127-2158. https://doi.org/10.1051/m2an/2017014.https://hdl.handle.net/1911/98896We 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-order 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-order models of both non-parametrized and parametrized 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.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlemodel order reductionerror estimationm2an160008https://doi.org/10.1051/m2an/2017014