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

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 de...

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Bibliographic Details
Main Authors Du, Xin, Uddin, M. Monir, Fony, A. Mostakim, Hossain, Md. Tanzim, Sahadat-Hossain, Mohammaed
Format Journal Article
LanguageEnglish
Published 09.01.2021
Subjects
Mathematics - Dynamical Systems
Mathematics - Optimization and Control
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Summary: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.
DOI:10.48550/arxiv.2101.04566