Title :
A linear extremal principle
Author_Institution :
Dept. of Math., Western Michigan Univ., Kalamazoo, MI, USA
Abstract :
The idea of using an extremal principle for optimization and nonsmooth analysis dates back to convex analysis. In this work an extremal principle in the vein of Mordukhovich is proven for the linear generalized gradient. It is tighter than Mordukhovich´s since the normal cones are smaller. However it requires a locally epi-Lipschitz set, so its applications are more limited. Some applications to nonsmooth calculus and optimization problems are given.
Keywords :
optimisation; set theory; variational techniques; convex analysis; linear extremal principle; linear generalized gradient; locally epiLipschitz sets; nonsmooth analysis; nonsmooth calculus; optimization; Calculus; Extraterrestrial measurements; Lifting equipment; Mathematics; Robustness; Veins;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184346
