A lower bound for the balanced truncation error for MIMO systems

Mark Opmeer; Timo Reis

doi:10.1109/TAC.2014.2368232

A lower bound for the balanced truncation error for MIMO systems

Mark Opmeer, Timo Reis

Universität Hamburg

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Abstract

We show that for a class of systems which includes state space symmetric systems, the balanced truncation error is bounded from below by twice the sum of the tail of the Hankel singular values (including multiplicities) divided by the dimension of the input space.

Original language	English
Pages (from-to)	2207-2212
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	60
Issue number	8
Early online date	6 Nov 2014
DOIs	https://doi.org/10.1109/TAC.2014.2368232
Publication status	Published - 24 Jul 2015

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A lower bound for the balanced truncation error for MIMO systems

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