• DocumentCode
    806562
  • Title

    Singular control of linear-discrete systems

  • Author

    Tzyh-Jong Tarn ; Rao, Sudhakara Kumblekere ; Zaborszky, John

  • Author_Institution
    Washington University, St. Louis, MO, USA
  • Volume
    16
  • Issue
    5
  • fYear
    1971
  • fDate
    10/1/1971 12:00:00 AM
  • Firstpage
    401
  • Lastpage
    410
  • Abstract
    This paper introduces a meaningful singular optimal control for a time-invariant linear-discrete system. The complex structures of the singular arc are studied in detail. Existence, uniqueness, and optimality are proved. A necessary and sufficient condition for the nonexistence of singular arc for linear-discrete systems is given along with a sufficient condition for its existence.
  • Keywords
    Linear systems, time-invariant discrete-time; Singular optimal control; Automatic control; Continuous time systems; Control systems; Fuel economy; Jacobian matrices; Nonlinear control systems; Power generation economics; Rockets; Sufficient conditions; Systems engineering and theory;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1971.1099771
  • Filename
    1099771