• DocumentCode
    3598802
  • Title

    Path-integral generalized differentials

  • Author

    Sussmann, H?©ctor J.

  • Author_Institution
    Dept. of Math., Rutgers Univ., Piscataway, NJ, USA
  • Volume
    1
  • fYear
    2002
  • Firstpage
    1101
  • Abstract
    This is the second of a series of two papers on generalized differentiation theories (GDTs). The first paper discussed the definition of the GDT concept, presented several GCDTs (the Warga derivate containers, weak multidifferentials, and generalized differential quotients) and compared them showing, in particular, that none of these theories contains all the others. In this paper, we introduce another concept of generalized differential-the path-integral generalized differential (PIGD)-that achieves the desired unification.
  • Keywords
    differential equations; differentiation; graph theory; Warga derivate containers; compact graph; generalized differential quotients; generalized differentiation theories; path-integral generalized differentials; weak multidifferentials; Containers; Gas discharge devices; Lifting equipment; Mathematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184659
  • Filename
    1184659