A lower bound for the balanced truncation error for MIMO systems

Mark Opmeer, Timo Reis

Research output: Contribution to journalArticle

6 Citations (Scopus)
148 Downloads (Pure)

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 languageEnglish
Pages (from-to)2207-2212
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume60
Issue number8
Early online date6 Nov 2014
DOIs
Publication statusPublished - 24 Jul 2015

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