• DocumentCode
    2477273
  • Title

    Power Series Solution of the Hamilton-Jacobi-Bellman Equation for Time-varying Differential-Algebraic Equations

  • Author

    Sjöberg, Johan ; Glad, Torkel

  • Author_Institution
    Dept. of Electr. Eng., Linkopings Universitet, Linkoping
  • fYear
    2006
  • fDate
    13-15 Dec. 2006
  • Firstpage
    870
  • Lastpage
    875
  • Abstract
    Optimal control problems for a class of nonlinear time-varying differential-algebraic equations are considered. It is shown that they possess a well-defined feedback solution in a neighborhood of the origin. Explicit formulas for the series expansions of the cost function and control law are given
  • Keywords
    differential algebraic equations; feedback; nonlinear control systems; nonlinear differential equations; optimal control; series (mathematics); time-varying systems; Hamilton-Jacobi-Bellman equation; control law; cost function; feedback solution; nonlinear time-varying differential-algebraic equations; optimal control; power series solution; Cost function; Differential equations; Feedback control; Infinite horizon; Jacobian matrices; Nonlinear equations; Optimal control; Partial differential equations; Time varying systems; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2006 45th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    1-4244-0171-2
  • Type

    conf

  • DOI
    10.1109/CDC.2006.377079
  • Filename
    4177693
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2477273