Nondegenerate Necessary Conditions for Optimal Impulsive Control Problems with State Constraints

A free time impulsive control problem with state constraints and equality and inequality constraints on the trajectory endpoints is considered in this article. After presenting an appropriate solution concept, necessary conditions of optimality in the form a Maximum Principle are stated. An essential feature of these conditions is that they do not degenerate, i.e., they remain informative even for abnormal control processes. These conditions are derived by using a penalty function method.

Авторы
Arutyunov A. 1 , Karamzin D.2 , Pereira F.3
Редакторы
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Сборник материалов конференции
Издательство
-
Номер выпуска
-
Язык
Английский
Страницы
233-238
Статус
Опубликовано
Подразделение
-
Ссылка
-
DOI
-
Номер
-
Том
1
Год
2003
Организации
  • 1 Differential Equations Dept., Peoples Friendship Univ. of Russia, 6, Mikluka-Maklai St., Moscow 117198, Russian Federation
  • 2 Department of Calculus Mathematics, Moscow State University, Vorob'yovi gory, Moscow 119899, Russian Federation
  • 3 Institute for Systems and Robotics, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal
Ключевые слова
Constraint theory; Differential equations; Functions; Integration; Mathematical models; Problem solving; Optimal impulsive control problems; State constraints; Optimal control systems
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/21/