Title :
On the extension of classical calculus of variations and optimal control to problems with discontinuous trajectories
Author :
Arutyunov, A. ; Karamzin, Dmitry ; Pereira, Fernando
Author_Institution :
Peoples´ Friendship Univ. of Russia, Moscow, Russia
Abstract :
In this article, we present a proper extension of the problems of classical calculus of variations and of optimal control to the case of discontinuous trajectories. An appropriate impulsive control problem is introduced as a result of such extension. Existence theorems are proved under assumptions of the Filippov type.
Keywords :
optimal control; variational techniques; Filippov type; classical calculus; discontinuous trajectories; existence theorems; impulsive control problem; optimal control; variations; Cost function; Differential equations; Optimal control; Process control; Trajectory; Vectors;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426145
