• DocumentCode
    2340319
  • Title

    A sufficient optimality condition for piecewise C1 extremal controls

  • Author

    Zhu, Jinghao

  • Author_Institution
    Dept. of Math., Tongji Univ., Shanghai, China
  • Volume
    5
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    3495
  • Abstract
    We give an exposition of a few aspects of our methodology for the general nonlinear optimal control in the piecewise C1 case. We obtain a sufficient optimality condition for piecewise C1 extremal controls by a first order partial differential equation, an optimization process and the Pontryagin principle. We express the optimal value function by Lie series. Finally, we present the application of this method in singular optimal control problems
  • Keywords
    nonlinear control systems; optimal control; optimisation; partial differential equations; Lie series; Pontryagin principle; nonlinear control systems; optimal control; optimization; partial differential equation; piecewise extremal controls; sufficient condition; Mathematics; Nonlinear control systems; Nonlinear systems; Optimal control; Partial differential equations; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on
  • Conference_Location
    Hefei
  • Print_ISBN
    0-7803-5995-X
  • Type

    conf

  • DOI
    10.1109/WCICA.2000.863191
  • Filename
    863191
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2340319