Model order reduction methods for coupled systems in the time domain using Laguerre polynomials |
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Authors: | Xiao-Long Wang Yao-Lin Jiang |
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Affiliation: | aDepartment of Mathematical Science, Xi’an Jiaotong University, Xi’an 710049, PR China |
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Abstract: | In this paper, based on Laguerre polynomials, we present new methods for model reduction of coupled systems in the time domain. By appropriately selected projection matrices, a reduced order system is produced to retain the topology structure of the original system. Meanwhile, it preserves a desired number of Laguerre coefficients of the system’s output, thereby providing good approximation accuracy. We also study the two-sided projection method in the time domain, as well as the stability of reduced order systems. Two numerical examples are used to illustrate the efficiency of the proposed methods. |
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Keywords: | Coupled systems Model reduction Structure preservation Laguerre polynomials Function approximation |
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