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

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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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Correspondence to Yiqin Lin.

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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).

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