• DocumentCode
    1129404
  • Title

    Noncommuting multidimensional realization theory: minimality, reachability, and observability

  • Author

    Beck, Carolyn ; D´Andrea, Raffaello

  • Author_Institution
    Dept. of Gen. Eng., Univ. of Illinois, Urbana, IL, USA
  • Volume
    49
  • Issue
    10
  • fYear
    2004
  • Firstpage
    1815
  • Lastpage
    1822
  • Abstract
    A generalization of the notions of minimality, reachability, and observability for parameter dependent and multidimensional systems modeled by linear fractional transformations over noncommuting operators is presented. The multidimensional system results developed herein are formally similar to and directly specialize to the standard results when one-dimensional systems are considered.
  • Keywords
    minimisation; multidimensional systems; observability; reachability analysis; realisation theory; linear fractional transformations; minimality; multidimensional systems; noncommuting multidimensional realization theory; observability; reachability; Controllability; MIMO; Machinery; Multidimensional systems; Observability; Robust control; Standards development; Time varying systems; Uncertain systems; Uncertainty; Multidimensional systems; linear fractional transformations; minimality; observability; reachability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2004.835582
  • Filename
    1341583
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1129404