Degeneracy phenomenon in optimal control problems with state constraints

The degeneracy phenomenon in optimal control systems is investigated. The new version of Pontryagin's maximum principle for problems with state constraints is obtained. This maximum principle contains some additional information about the behavior of the Hamiltonian. The jump conditions at the endtimes are important in the investigation of the degeneracy phenomenon. Using this result under some natural controllability conditions, the necessary and sufficient conditions for the maximum principle to be informative is obtained.

Авторы
Редакторы
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Сборник материалов конференции
Издательство
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Номер выпуска
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Язык
Английский
Страницы
300-304
Статус
Опубликовано
Подразделение
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Ссылка
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DOI
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Номер
-
Том
1
Год
1997
Организации
  • 1 Russian Peoples Friendship Univ, Moscow, Russian Federation
Ключевые слова
Constraint theory; Control system analysis; Controllability; Mathematical models; Set theory; State space methods; Degeneracy phenomenon; Hamilton functions; Pontryagin's maximum principle; Optimal control systems
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/699/