Projection of state space realizations
Antoine Vandendorpe and Paul Van Dooren
Department of Mathematical Engineering
Université catholique de Louvain
1 DESCRIPTION OF THE PROBLEM
We consider two m × p strictly proper transfer functions
2 MOTIVATION AND HISTORY OF THE PROBLEM
Equation (2) arises naturally in the general framework of model reduction of large scale linear systems . In this context we are given a transfer function T(s) of McMillan degree n, which we want to approximate by a transfer function of smaller McMillan degree k, in order to solve a simpler analysis or design problem.