On Constrained Impulsive Control Problems: Controlling System Jumps

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Aram Arutyunov (Author) FEUP; Dmitry Karamzin (Author) FEUP; F. Lobo Pereira (Author) FEUP

Journal

Title: Journal of Mathematical Sciences

Pages: 654-688

ISSN: 1072-3374

Publisher: Springer Nature

Indexing

Scopus

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

CORDIS: Technological sciences

Other information

DOI: DOI: 10.1007/s10958-010-9834-z

Abstract (EN): This paper considers constrained impulsive control problems for which the authors propose a new mathematical concept of control required for the impulsive framework. These controls can arise in engineering, in particular, in problems of space navigation. We derive necessary extremum conditions in the form of the Pontryagin maximum principle and also study conditions under which the constraint regularity clarifications become weaker. In the proof of the main result, Ekeland's variational principle is used. © 2010 Springer Science+Business Media, Inc.

Language: English

Type (Professor's evaluation): Scientific