A model-order reduction method based on Krylov subspaces for mimo bilinear dynamical systems |
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Authors: | Yiqin Lin Liang Bao Yimin Wei |
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Affiliation: | 1. Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou 425100, Hunan Province, P. R. China 2. Institute of Mathematics, School of Mathematical Sciences, Fudan University, 200433, Shanghai, P. R. China 3. Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Ministry of Education, P. R. China
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Abstract: | In this paper, we present a Krylov subspace based projection method for reduced-order modeling of large scale bilinear multi-input multioutput (MIMO) systems. The reduced-order bilinear system is constructed in such a way that it can match a desired number of moments of multivariable transfer functions corresponding to the kernels of Volterra series representation of the original system. Numerical examples report the effectiveness of this method. |
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