Journal of Analytical Chemistry.
Vol. 67.
2012.
P. 1001-1004
On the extension of classical calculus of variations and optimal control to problems with discontinuous trajectories
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. © 2012 IEEE.
Authors
Arutyunov A.
1
,
Karamzin D.2
,
Pereira F.3
Conference proceedings
Language
English
Pages
6406-6411
Status
Published
Number
6426145
Year
2012
Organizations
- 1 Peoples' Friendship University of Russia, Miklukho-Maklaya street, 6, Moscow, Russian Federation
- 2 Computing Center of RAS, Vavilova street, 40, Moscow, Russian Federation
- 3 University of Porto, FEUP, Rua Dr. Roberto Frias, Porto, Portugal
Keywords
Classical calculus; Existence theorem; Filippov; Impulsive controls; Optimal controls; Control
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Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012.
2012.
P. 174-179