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A model-order reduction method based on Krylov subspaces for mimo bilinear dynamical systems

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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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Authors and Affiliations

  1. Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou 425100, Hunan Province, P. R. China

    Yiqin Lin

  2. Institute of Mathematics, School of Mathematical Sciences, Fudan University, 200433, Shanghai, P. R. China

    Liang Bao & Yimin Wei

  3. Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Ministry of Education, P. R. China

    Liang Bao & Yimin Wei

Authors
  1. Yiqin Lin
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  2. Liang Bao
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  3. Yimin Wei
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Correspondence to Yiqin Lin.

Additional information

Yiqin Lin is supported by Scientific Research Startup Foundation of Hunan University of Science and Engineering for Young Teacher. Yimin Wei is supported by the National Natural Science Foundation of China under grant 10471027 and Shanghai Education Committee.

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Lin, Y., Bao, L. & Wei, Y. A model-order reduction method based on Krylov subspaces for mimo bilinear dynamical systems. J. Appl. Math. Comput. 25, 293–304 (2007). https://doi.org/10.1007/BF02832354

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  • DOI: https://doi.org/10.1007/BF02832354

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