Linear impulsive control problems

In this chapter, the simplest impulsive extension of a control problem which is feasible in the case of linear dynamical control systems is described. The chapter begins by considering several typical examples of linear control problems for which the appearance of discontinuities in admissible trajectories is natural, since it fits into their physical representation (under certain assumptions made from the point of view of the mathematical model). In particular, the well-known Lawden’s problem of the motion of a rocket is examined here and it is demonstrated how discontinuities of extremal trajectories inevitably arise. Next, we give a theorem on the existence of a solution to the extended problem and another theorem concerning necessary optimality conditions in the form of Pontryagins maximum principle, which, in the linear case, are expressed in a sufficiently simple and clear way. The chapter ends with 11 exercises. © 2019, Springer Nature Switzerland AG.

Авторы
Arutyunov A. 1, 2, 3 , Karamzin D. 4 , Lobo Pereira F.
Издательство
Springer Verlag
Язык
Английский
Страницы
1-18
Статус
Опубликовано
Том
477
Год
2019
Организации
  • 1 Moscow State University, Moscow, Russian Federation
  • 2 Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russian Federation
  • 3 RUDN University, Moscow, Russian Federation
  • 4 Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russian Federation
  • 5 FEUP/DEEC, Porto University, Porto, Portugal
Ключевые слова
Rockets; Control problems; Dynamical control systems; Existence of a solutions; Extremal; Linear controls; Linear impulsive; Necessary optimality condition; Linear control systems
Дата создания
04.02.2019
Дата изменения
04.02.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/36162/
Поделиться

Другие записи