Title :
Nonsmooth approximate maximum principle in optimal control
Author :
Mordukhovich, Boris S. ; Shvartsman, Ilya
Author_Institution :
Dept. of Math., Wayne State Univ., Detroit, MI, USA
Abstract :
In this paper we investigate stability of the Pontryagin maximum principle with respect to time discretization for optimal control problems with convex cost function and endpoint constraints. A generalization of the so-called approximate maximum principle from smooth to nonsmooth systems is obtained.
Keywords :
optimal control; stability; Pontryagin maximum principle; convex cost function; endpoint constraints; generalization; nonsmooth approximate maximum principle; nonsmooth systems; optimal control problems; stability; time discretization; Approximation methods; Limiting; Needles; Optimal control; Trajectory; USA Councils; Vectors; Optimal control; approximate maximum principle; discrete approximations;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160549
