• DocumentCode
    3083423
  • Title

    Free end points linear-quadratic problems of optimal control

  • Author

    Kogan, Jacob

  • Author_Institution
    Dept. of Math. & Stat., Maryland Univ., Baltimore, MD, USA
  • fYear
    1990
  • fDate
    5-7 Dec 1990
  • Firstpage
    1652
  • Abstract
    The authors consider linear-quadratic optimal control problems with free end points, i.e., end points which are restricted to belong to a certain subset of the state space (in particular this set may be a linear manifold). Necessary and sufficient conditions are presented which enable an infinite-dimensional linear-quadratic optimal control problem to be reduced to a quadratic minimization problem in a finite-dimensional Euclidian space, and to present necessary and sufficient optimality conditions for the original infinite-dimensional optimization problem
  • Keywords
    distributed parameter systems; multidimensional systems; optimal control; finite-dimensional Euclidian space; free end points; infinite-dimensional control; linear-quadratic optimal control; necessary and sufficient conditions; quadratic minimization; Cost function; Integral equations; Jacobian matrices; Kalman filters; Linear systems; Mathematics; Optimal control; State-space methods; Statistics; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/CDC.1990.203900
  • Filename
    203900