Balanced truncation of linear time-varying systems
2004 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 49, no 2, 217-229 p.Article in journal (Refereed) Published
In this paper, balanced truncation of linear time-varying systems is studied in discrete and continuous time. Based on relatively basic calculations with time-varying Lyapunov equations/inequalities we are able to derive both upper and lower error bounds for the truncated models. These results generalize well-known time-invariant formulas. The case of time-varying state dimension is considered. Input-output stability of all truncated balanced realizations is also proven. The method is finally successfully applied to a high-order model.
Place, publisher, year, edition, pages
2004. Vol. 49, no 2, 217-229 p.
balanced truncation, error bound, linear time-varying systems, model reduction, model-reduction, error-bounds, variable systems, periodic-systems
IdentifiersURN: urn:nbn:se:kth:diva-23182DOI: 10.1109/TAC.2003.822862ISI: 000189037200005OAI: oai:DiVA.org:kth-23182DiVA: diva2:341880
QC 20100525 QC 201111102010-08-102010-08-102016-03-16Bibliographically approved