DocumentCode
3165772
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
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
6406
Lastpage
6411
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6426145
Filename
6426145
Link To Document