@inproceedings{8c631e26cbbf4cfda98991035398fd21,
title = "Reduction of second order systems using second order Krylov subspaces",
abstract = "By introducing the second order Krylov subspace, a method for the reduction of second order systems is proposed leading to a reduced system of the same structure. This generalization of Krylov subspace involves two matrices and some starting vectors and the reduced order model is found by applying a projection directly to the second order model without any conversion to state space. A numerical algorithm called second order Arnoldi is used to calculate the projection matrix. A sufficient condition for stability of the reduced model is given and finally, the method is applied to an electrostatically actuated beam.",
keywords = "Large scale systems, Model reduction, Reduced-order models, Second-order systems",
author = "Boris Lohmann and Behnam Salimbahrami",
note = "Funding Information: This work is partially supported by German Research Council (DFG).",
year = "2005",
doi = "10.3182/20050703-6-cz-1902.00103",
language = "English",
isbn = "008045108X",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
pages = "614--619",
booktitle = "Proceedings of the 16th IFAC World Congress, IFAC 2005",
}