Model order reduction based on general orthogonal polynomials in the time domain for coupled systems

作者:Qi Zhen Zhong; Jiang Yao Lin*; Xiao Zhi Hua
来源:Journal of the Franklin Institute, 2014, 351(6): 3200-3214.
DOI:10.1016/j.franklin.2014.02.014

摘要

In this paper, we present a new model order reduction (MOR) method based on general orthogonal poly notnials for coupled systems in the time domain. By constructing proper projection matrices, the reduced system not only can preserve the structure of the original system but also can match the first several coefficients of the original output. We study the error bound and the stability of the reduced system as well. Finally, two numerical examples are shown to illustrate the effectiveness of the method.