• DocumentCode
    87175
  • Title

    Controllability of Discrete Time Bilinear Systems in Finite and Infinite Dimensional Spaces

  • Author

    Louati, Driss Alami ; Ouzahra, Mohamed

  • Author_Institution
    Dept. of Math., Univ. of Sidi Mohamed Ben Abdallah, Fès, Morocco
  • Volume
    59
  • Issue
    9
  • fYear
    2014
  • fDate
    Sept. 2014
  • Firstpage
    2491
  • Lastpage
    2495
  • Abstract
    In the first instance, we prove that in a Banach state space of infinite dimensional; discrete bilinear systems are uncontrollable and we examine the control of the projections of the state on finite-dimensional subspaces. Then we generalize finite-dimensional results on near-controllability established by Tie and Cai in [21] and [22]. Finally, we provide illustrative examples.
  • Keywords
    controllability; discrete time systems; linear systems; state-space methods; Banach state space; discrete time bilinear systems; finite dimensional space; infinite dimensional space; near-controllability; Aerospace electronics; Barium; Controllability; Eigenvalues and eigenfunctions; Nonlinear systems; Polynomials; Controllability; Discrete time bilinear system; controllability; discrete time bilinear system; near-controllability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2014.2304392
  • Filename
    6730919