TY - GEN A1 - Stykel, Tatjana A1 - Reis, Timo T1 - Balanced truncation model reduction of second-order systems N2 - In this paper we consider structure-preserving model reduction of second-order systems using a~ba\-lan\-ced truncation approach. Several sets of singular values are introduced for such systems, which lead to different concepts of balancing and different second-order balanced truncation methods. We compare the properties of these methods on numerical examples. KW - second-order systems KW - model reduction KW - balanced truncation KW - Gramians KW - singular values Y1 - 2007 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/379 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3798 ER -