Dorschky, Ines Reis, Timo Voigt, Matthias 2021 We introduce a model reduction approach for linear time-invariant second order systems based on positive real balanced truncation. Our method guarantees to preserve asymptotic stability and passivity of the reduced order model as well as the positive definiteness of the mass and stiffness matrices. Moreover, we receive an a priori gap metric error bound. Finally we show that our method based on positive real balanced truncation preserves the structure of overdamped second order systems. application/pdf https://n2t.net/ark:/51647/srd1320170 https://sonar.unidistance.ch/global/documents/320170 https://sonar.unidistance.ch/documents/320170/files/DorRV21.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1137/20M1346109 info:eu-repo/semantics/altIdentifier/doi/10.5281/zenodo.4519721 info:eu-repo/semantics/altIdentifier/ark/51647/srd1320170 info:eu-repo/semantics/openAccess Rights reserved SIAM Journal on Matrix Analysis and Applications. - 2021, vol. 42, no. 4, p. 1602-1635 model reduction matrix polynomials balanced truncation indefinite linear algebra open code open data info:eu-repo/classification/udc/51 Balanced truncation model reduction for symmetric second order systems – A passivity-based approach http://purl.org/coar/resource_type/c_6501