• DocumentCode
    2406238
  • Title

    Second order necessity and sufficiency theory for the free final time problem

  • Author

    Chamberland, M. ; Zeidan, V.

  • Author_Institution
    Dept. of Appl. Math., Waterloo Univ., Ont., Canada
  • fYear
    1992
  • fDate
    1992
  • Firstpage
    1518
  • Abstract
    The authors conduct a thorough study for the free final time problem with control constraints. They formally derive all the results obtained earlier for the fixed final time problem, namely, the accessory problem, the conjugate point theory, and the necessary and sufficient conditions involving the Riccati equation. The analysis constitutes a comprehensive development of the second order necessary and sufficient conditions for the free final time problem
  • Keywords
    constraint theory; optimal control; Riccati equation; accessory problem; conjugate point theory; control constraints; free final time problem; second-order necessity theory; second-order sufficiency theory; Constraint theory; Erbium; Mathematics; Optimal control; Riccati equations; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
  • Conference_Location
    Tucson, AZ
  • Print_ISBN
    0-7803-0872-7
  • Type

    conf

  • DOI
    10.1109/CDC.1992.371161
  • Filename
    371161