# H2-optimal model reduction of MIMO systems

We consider the problem of approximating a $p\times m$ rational transfer function $H(s)$ of high degree by another $p\times m$ rational transfer function $\hat{H}(s)$ of much smaller degree. We derive the gradients of the $H_2$-norm of the approximation error and show how stationary points can be described via tangential interpolation.

## Citation

Technical report UCL-INMA-2007.034, Department of Mathematical Engineering, Université catholique de Louvain.