期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 415, 期 2-3, 页码 385-405出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2004.12.013
关键词
second-order systems; order reduction; second-order Krylov subspace; moment matching; large scale systems
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. (c) 2004 Elsevier Inc. All rights reserved.
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