文献类型：期刊文献

英文题名：Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces

作者：Lin, Yiqin[1];Bao, Liang[2];Wei, Yimin[3,4]

机构：[1]Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425100, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[3]Fudan Univ, Sch Math Sci, Inst Math, Shanghai 200433, Peoples R China;[4]Fudan Univ, Key Lab Math Nonlinear Sci, Minist Educ, Shanghai 200433, Peoples R China

年份：2009

卷号：58

期号：6

起止页码：1093

外文期刊名：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录：;EI(收录号：20093412266592);WOS:【SCI-EXPANDED(收录号:WOS:000270116200002)】；

基金：The first author is supported by the National Natural Science Foundation of China under grant 10801048. The third author is supported by the National Natural Science Foundation of China under grant 1087105 1. Shanghai Education Committee (Dawn Project) and Shanghai Science and Technology Committee under grant 09DZ2272900. The authors would like to thank the anonymous referees for their helpful suggestions, which greatly improved the paper.

语种：英文

外文关键词：Bilinear system; Order-reduced modeling; Moment matching; Block Krylov subspace; Projection method

摘要：In this paper we study numerical methods for the model-order reduction of large-scale bilinear multi-input multi-output systems. A new projection method is proposed. The projection subspace is the union of some new block Krylov subspaces. We show that the reduced-order bilinear system constructed by the new method can match adesired number of moments of multivariable transfer functions corresponding to the kernels of Volterra series representation of the original system. Some numerical examples are presented to illustrate the effectiveness of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.