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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 1.13

Projection of state space realizations

Antoine Vandendorpe and Paul Van Dooren

Department of Mathematical Engineering

Université catholique de Louvain

B-1348 Louvain-la-Neuve

Belgium

1 DESCRIPTION OF THE PROBLEM

We consider two m × p strictly proper transfer functions

16862

2 MOTIVATION AND HISTORY OF THE PROBLEM

Equation (2) arises naturally in the general framework of model reduction of large scale linear systems [1]. 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.

Classical ...

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