@Article{IJNAM-8-1, 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 = {
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.
}, issn = {2617-8710}, doi = {https://doi.org/2011-IJNAM-680}, url = {https://global-sci.com/article/83546/optimal-mathcalh-2-model-reduction-for-large-scale-mimo-systems-via-tangential-interpolation} }