• DocumentCode
    844631
  • Title

    A controllability counterexample

  • Author

    Elliott, David L.

  • Author_Institution
    Inst. for Syst. Res., Univ. of Maryland, College Park, MD, USA
  • Volume
    50
  • Issue
    6
  • fYear
    2005
  • fDate
    6/1/2005 12:00:00 AM
  • Firstpage
    840
  • Lastpage
    841
  • Abstract
    Simulation by time discretizations can be qualitatively misleading; as counterexamples a class of noncontrollable single-input two-dimensional bilinear control systems is presented whose Euler discretizations are controllable on the punctured plane.
  • Keywords
    bilinear systems; controllability; multidimensional systems; Euler discretizations; controllability counterexample; noncontrollable single-input two-dimensional bilinear control systems; punctured plane; time discretizations; Computer simulation; Control system synthesis; Control systems; Controllability; Difference equations; Instruction sets; Jacobian matrices; Nonlinear control systems; Spirals; Symmetric matrices; Bilinear systems; controllability; difference equations;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2005.849223
  • Filename
    1440568