A short survey on measure-driven optimal control problems

• Type: Article in International Conference Proceedings Book
• Date: 2018

Authors

Aram Arutyunov (Author) Other; Dmitry Karamzin (Author) Other; Fernando Lobo Pereira (Author) FEUP

Conference proceedings International

Title: Proceedings of the 2018 13th APCA International Conference on Control and Soft Computing (CONTROLO)

Pages: 79-84

Indexing

ISI Web of Science

Scopus - 0 Citations

INSPEC

Other information

Authenticus ID: P-00P-YBY

DOI: 10.1109/controlo.2018.8516411

Abstract (EN): In the middle of the last century, space exploration raised the need to solve rocket space navigation and control problems in which the jumps of state variables naturally arose. Then, alongside the development of control theory, the discontinuous arcs-solutions to calculus of variations problems began to attract increasing attention from researchers. Gradually, they started to be considered and investigated within the framework of a more general theory which is known today as the theory of optimal impulsive control. This article contains a short survey on the extension approach to the impulsive control theory by basing on the concept of measure-driven control differential system. The meaning of extension and of well-posed extension is defined and discussed. Various types of extensions are considered starting from the simplest linear case and finishing with a general nonlinear situation. © 2018 IEEE.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6