Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints

In this paper we study the degeneracy phenomenon in optimal control problems with state constraints. It is shown that this phenomenon occurs because of the incompleteness of the standard variants of Pontryagin's maximum principle for problems with state constraints. A new maximum principle containing additional information about the behavior of the Hamiltonian at the endtimes is developed. We also obtain some sufficient and necessary conditions for nondegeneracy and pointwise nontriviality of the maximum principle. The results obtained pertain to optimal control problems with systems described by differential inclusions and ordinary differential equations.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
3
Язык
Английский
Страницы
930-952
Статус
Опубликовано
Подразделение
-
Номер
-
Том
35
Год
1997
Организации
  • 1 Dept. Different. Equation Funct. A., Russ. Peoples Friendship University, Ordzonikidze str. 3, Moscow, Russian Federation
  • 2 Steklov Institute of Mathematics, Gubkina str. 8, 117966, Moscow, Russian Federation
Ключевые слова
Controllability conditions; Degeneracy phenomenon; Maximum principle; Optimal control; State constraints
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/761/