• DocumentCode
    2097557
  • Title

    A local second- and third-order maximum principle

  • Author

    Sussmann, Hector J.

  • Author_Institution
    Dept. of Math., Rutgers, the State Univ. of New Jersey, Piscataway, NJ, USA
  • Volume
    4
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    3141
  • Abstract
    We present an abstract necessary condition for set separation, a necessary condition for a minimum in an abstract setting. The optimal control results are presented. We also present an example showing that our results apply in cases where previous results do not. For lack of space, we omit the proofs, we limit our discussion to problems with fixed endpoints, and we only consider the second and third-order cases.
  • Keywords
    maximum principle; optimal control; optimisation; abstract necessary condition; fixed endpoints; maximum principle; optimal control; set separation; Electronic mail; Mathematics; Needles; Optimal control; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2002. Proceedings of the 2002
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-7298-0
  • Type

    conf

  • DOI
    10.1109/ACC.2002.1025272
  • Filename
    1025272