TY - JOUR
T1 - Order reduction of large scale second-order systems using Krylov subspace methods
AU - Salimbahrami, Behnam
AU - Lohmann, Boris
N1 - Funding Information:
This work was supported by German research council (DFG) which is gratefully acknowledged. We also would like to thank the authors of the site: http://www.win. tue.nl/niconet/NIC2/benchmodred.html for providing us the model.
PY - 2006/6/1
Y1 - 2006/6/1
N2 - In order reduction of large-scale linear time invariant systems, Krylov subspace methods based on moment matching are among the best choices today. However, in many technical fields, models typically consist of sets of second-order differential equations, and Krylov subspace methods cannot directly be applied. Two methods for solving this problem are presented in this paper: (1) an approach by Su and Craig is generalized and the number of matching moments is increased; (2) a new approach via first-order models is presented, resulting in an even higher number of matching moments. Both solutions preserve the specific structure of the second-order type model.
AB - In order reduction of large-scale linear time invariant systems, Krylov subspace methods based on moment matching are among the best choices today. However, in many technical fields, models typically consist of sets of second-order differential equations, and Krylov subspace methods cannot directly be applied. Two methods for solving this problem are presented in this paper: (1) an approach by Su and Craig is generalized and the number of matching moments is increased; (2) a new approach via first-order models is presented, resulting in an even higher number of matching moments. Both solutions preserve the specific structure of the second-order type model.
KW - Large scale systems
KW - Moment matching
KW - Order reduction
KW - Second-order Krylov subspace
KW - Second-order systems
UR - http://www.scopus.com/inward/record.url?scp=33646145079&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2004.12.013
DO - 10.1016/j.laa.2004.12.013
M3 - Article
AN - SCOPUS:33646145079
SN - 0024-3795
VL - 415
SP - 385
EP - 405
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - 2-3
ER -