Mayo, Andrew (Rice Univ.), Antoulas, Athanasios (Rice Univ.)

New Results on Interpolation and Model Reduction

Scheduled for presentation during the Mini-Symposium "Dimension reduction of large-scale systems I" (ThA05), Thursday, July 27, 2006, 11:15−11:40, Room F

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

The unconstrained rational interpolation problem is considered. We construct a realization of an interpolant by solving two Sylvester equations. We show that this result is a generalization of a procedure used in passive model reduction. The procedure is applicable to both SISO realization and MIMO realization with full data. We then show a slightly weaker result for the case of MIMO realization with tangential data.