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A lower bound for the balanced truncation error for MIMO systems
OAI: oai:purehost.bath.ac.uk:openaire_cris_publications/ecf2e05b-4004-4b69-bc62-060c5057fc97 • DOI: https://doi.org/10.1109/TAC.2014.2368232
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.