- H2-optimal model reduction of MIMO systems P. Van Dooren (Paul.Vandoorenuclouvain.be) K. A. Gallivan (gallivanscs.fsu.edu) P.-A. Absil (pa.absiluclouvain.be) Abstract: 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. Keywords: Multivariable systems, model reduction, optimal H2 approximation, tangential interpolation. Category 1: Applications -- Science and Engineering (Other ) Citation: Technical report UCL-INMA-2007.034, Department of Mathematical Engineering, Université catholique de Louvain. Download: [PDF]Entry Submitted: 09/07/2007Entry Accepted: 09/07/2007Entry Last Modified: 10/01/2007Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Programming Society and by the Optimization Technology Center.