State Constraints in Impulsive Control Problems: Gamkrelidze-Like Conditions of Optimality

An impulsive control problem with state constraints is considered. A Pontryagin maximum principle in the framework of R.V. Gamkrelidze is derived, being its proof based on a certain penalization technique and on the application of Ekeland’s variational principle. This approach is distinct from the more usual ones in Impulsive Control theory based on a reduction to a conventional control problem and exhibits the advantage of allowing to address problems with dynamics which are merely measurable in the time variable. Controllability assumptions to ensure the non-degeneracy of the conditions are provided in the impulsive control context. An example demonstrating the significance of the conditions is given. © 2014, Springer Science+Business Media New York.

Авторы
Редакторы
-
Издательство
Kluwer Academic Publishers-Plenum Publishers
Номер выпуска
2
Язык
Английский
Страницы
440-459
Статус
Опубликовано
Подразделение
-
Номер
-
Том
166
Год
2015
Организации
  • 1 Peoples’ Friendship University of Russia, Miklukho-Maklaja st. 6, Moscow, 117198, Russian Federation
  • 2 Computing Centre of the Russian Academy of Sciences, Vavilova st.,40, Moscow, 119991, Russian Federation
  • 3 SYSTEC, University of Porto, Dr. Roberto Frias st., s/n, Porto, 4200-465, Portugal
Ключевые слова
Impulsive control; Maximum principle; State constraints
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4524/