A short survey on measure-driven optimal control problems

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.

Авторы
Редакторы
-
Издательство
Institute of Electrical and Electronics Engineers Inc.
Номер выпуска
-
Язык
Английский
Страницы
79-84
Статус
Опубликовано
Подразделение
-
Ссылка
-
Номер
8516411
Том
-
Год
2018
Организации
  • 1 Institute for Information Transmission Problems, RUDN University, Moscow Institute of Physics and Technology, Moscow, Russian Federation
  • 2 Computer Science and Control, Federal Research Center, Moscow, Russian Federation
  • 3 SYSTEC, Inst. Systems and Robotics, Porto University, Porto, Portugal
  • 4 SYSTEC, FEUP (Visiting), Porto, Portugal
Ключевые слова
Discontinuous arcs; Existence of a solution; Impulsive control; Optimal control; Optimal control problem extension; Well-posedness of extension
Дата создания
04.02.2019
Дата изменения
04.02.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/36277/