Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces

Authors:
Yiqin Lin;Liang Bao;Yimin Wei
Affiliations:
Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou, 425100, PR China;Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, PR China;Institute of Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, 200433, PR China and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Ministry of Educ ...
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

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 a desired 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.