• DocumentCode
    852030
  • Title

    Measuring how far a controllable system is from an uncontrollable one

  • Author

    Boley, Daniel L. ; Lu, Wu-Sheng

  • Author_Institution
    University of Minnesota, Minneapolis, MN, USA
  • Volume
    31
  • Issue
    3
  • fYear
    1986
  • fDate
    3/1/1986 12:00:00 AM
  • Firstpage
    249
  • Lastpage
    251
  • Abstract
    The main goal of this note is to explore some of the properties of a controllable system which, in a precise sense to be defined, is near an uncontrollable pair. To do this, we first discuss the notion of the distance between a controllable system and the nearest uncontrollable one in both real and complex cases [2]-[5]. When this distance is relatively small, we show to what extent this distance corresponds to certain properties of the uncontrollability matrix and the reachability Grammian.
  • Keywords
    Controllability, linear systems; Automatic control; Control systems; Controllability; Design methodology; Eigenvalues and eigenfunctions; Linear systems; Output feedback; Regulators; Spirals; State feedback;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104240
  • Filename
    1104240
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=852030