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

MTNS 2006 Paper Abstract

Close

Paper MoA12.2

Baratchart, Laurent (INRIA)

On the H2 Rational Approximation of Markov Matrix-Valued Functions

Scheduled for presentation during the Mini-Symposium "New directions and problems in operator theory and system theory" (MoA12), Monday, July 24, 2006, 11:15−11:40, Room 104b

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 March 28, 2024

Keywords Model reduction, Linear systems, Passivity

Abstract

We prove that the best rational H2 approximant (for the Frobenius norm) of given McMillan degree to a Markov matrix-valued transfer function, or equivalently the transfer function of a relaxation system, is again Markov.