@Article{IJNAM-8-174,
author = {},
title = {Optimal $\mathcal{H}_2$ Model Reduction for Large Scale MIMO Systems via Tangential Interpolation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2011},
volume = {8},
number = {1},
pages = {174--188},
abstract = {<p style="text-align: justify;">We consider the optimal $\mathcal{H}_2$ model reduction for large scale multi-input
multi-output systems via tangential interpolation. Specifically, we prove
that for general multi-input multi-output systems, the tangential interpolation-based
optimality conditions and the gramian-based optimality conditions are
equivalent. Based on the tangential interpolation, a fast algorithm is proposed
for the optimal $\mathcal{H}_2$ model reduction. Numerical examples are presented to
demonstrate the approximation accuracy and computational efficiency of the
proposed algorithm.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/680.html}
}