79115

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Глава в книге

Название: 

Optimization of Dynamical Systems with Impulse Controls and Shocks, Chapter 8. Impulsive Control in Collision Mechanics

ISBN/ISSN: 

978-3-031-64123-7 Online ISBN 978-3-031-64124-4

DOI: 

10.1007/978-3-031-64124-4_8

Наименование источника: 

  • Optimization of Dynamical Systems with Impulse Controls and Shocks

Город: 

  • Basel, Switzerland

Издательство: 

  • Birkhäuser

Год издания: 

2024

Страницы: 

387-519
Аннотация
This Chapter is devoted to a novel application of the impulse control, namely to the control of mechanical systems in the shock phase. This phase is considered as a motion parametrized by certain parameters mu and in the limit mu infinity mu right arrow normal infinity mu → ∞ converges to a discontinuous function. Various applications of this approach have been considered, in particular, to the long-standing P. Painlevé problem, where using classical mechanics in the analysis of shock interaction with dry friction leads sometimes to the impossibility of continuation of the solution. We consider systems with a series of shocks and with controls during the impact phase of motion.

Библиографическая ссылка: 

Миллер Б.М., Рубинович Е.Я. Optimization of Dynamical Systems with Impulse Controls and Shocks, Chapter 8. Impulsive Control in Collision Mechanics / Optimization of Dynamical Systems with Impulse Controls and Shocks. Basel, Switzerland: Birkhäuser, 2024. С. 387-519.