• DocumentCode
    850432
  • Title

    An existence theorem for discrete-time infinite-horizon optimal control problems

  • Author

    Keerthi, S.S. ; Gilbert, E.G.

  • Author_Institution
    University of Michigan, Ann Arbor, MI, USA
  • Volume
    30
  • Issue
    9
  • fYear
    1985
  • fDate
    9/1/1985 12:00:00 AM
  • Firstpage
    907
  • Lastpage
    909
  • Abstract
    An existence theorem is given for a general class of deterministic, infinite-horizon, discrete-time optimal control problems. The hypotheses of the theorem are weak and can be easily verified. The objective function may be either a summation or supremum over time.
  • Keywords
    Optimal control, nonlinear systems; Asymptotic stability; Automatic control; Control systems; Costs; Linear systems; Optimal control; Riccati equations; Robustness; State feedback; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1985.1104084
  • Filename
    1104084