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arXiv · 2101.04566

Frequency Limited $\mathcal{H}_2$ Optimal Model Reduction of Large-Scale Sparse Dynamical Systems

Xin Du·M. Monir Uddin·A. Mostakim Fony·Md. Tanzim Hossain·Mohammaed Sahadat-Hossain
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Abstract

We mainly consider the frequency limited $\mathcal{H}_2$ optimal model order reduction of large-scale sparse generalized systems. For this purpose we need to solve two Sylvester equations. This paper proposes efficient algorithm to solve them efficiently. The ideas are also generalized to index-1 descriptor systems. Numerical experiments are carried out using Python Programming Language and the results are presented to demonstrate the approximation accuracy and computational efficiency of the proposed techniques.

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Xin Du, M. Monir Uddin, A. Mostakim Fony, Md. Tanzim Hossain, Mohammaed Sahadat-Hossain. 2021-01-09. Frequency Limited $\mathcal{H}_2$ Optimal Model Reduction of Large-Scale Sparse Dynamical Systems. https://arxiv.org/abs/2101.04566

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