• DocumentCode
    29616
  • Title

    A Lower Bound for the Balanced Truncation Error for MIMO Systems

  • Author

    Opmeer, Mark R. ; Reis, Timo

  • Author_Institution
    Dept. of Math. Sci., Univ. of Bath, Bath, UK
  • Volume
    60
  • Issue
    8
  • fYear
    2015
  • fDate
    Aug. 2015
  • Firstpage
    2207
  • Lastpage
    2212
  • 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.
  • Keywords
    MIMO systems; state-space methods; Hankel singular values; MIMO systems; balanced truncation error; multiplicities; state space symmetric systems; Approximation methods; Capacitance; Eigenvalues and eigenfunctions; Integrated circuit modeling; Observability; Transfer functions; Upper bound; Balanced realization; Hankel operator; balanced realization; balanced truncation; error bound; linear time-invariant systems; linear time-invariant systems.; model reduction;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2014.2368232
  • Filename
    6949058
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=29616