Frequency Limited $\mathcal{H}_2$ Optimal Model Reduction of Large-Scale Sparse Dynamical Systems
Optimization and Control
2021-01-13 v1 Dynamical Systems
Abstract
We mainly consider the frequency limited 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.
Cite
@article{arxiv.2101.04566,
title = {Frequency Limited $\mathcal{H}_2$ Optimal Model Reduction of Large-Scale Sparse Dynamical Systems},
author = {Xin Du and M. Monir Uddin and A. Mostakim Fony and Md. Tanzim Hossain and Mohammaed Sahadat-Hossain},
journal= {arXiv preprint arXiv:2101.04566},
year = {2021}
}