Title :
Path-integral generalized differentials
Author :
Sussmann, H?©ctor J.
Author_Institution :
Dept. of Math., Rutgers Univ., Piscataway, NJ, USA
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184659
