On constrained impulsive control problems

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.

Авторы
Arutyunov A.V. 1 , Karamzin D.Y.2 , Pereira F.L. 3
Издательство
Springer New York LLC
Номер выпуска
6
Язык
Английский
Страницы
654-688
Статус
Опубликовано
Том
165
Год
2010
Организации
  • 1 Russian University of People's Friendship, Moscow, Russian Federation
  • 2 Computational Center of the Russian Academy of Sciences, Moscow, Russian Federation
  • 3 University of Porto, FEUP, rua do Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal
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