74457

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Optimization of the Reachable Set of a Linear System with Respect to Another Set

ISBN/ISSN: 

0965-5425

DOI: 

10.1134/S0965542523050056

Наименование источника: 

  • Computational Mathematics and Mathematical Physics

Обозначение и номер тома: 

Vol. 63, No. 5

Город: 

  • New York

Издательство: 

  • Pleades Publishing, Ltd

Год издания: 

2023

Страницы: 

751–770.
Аннотация
Given a linear controlled autonomous system, we consider the problem of including a con- vex compact set in the reachable set of the system in the minimum time and the problem of determin- ing the maximum time when the reachable set can be included in a convex compact set. Additionally, the initial point and the time at which the extreme time is achieved in each problem are determined. Each problem is discretized on a grid of unit vectors and is then reduced to a linear programming prob- lem to find an approximate solution of the original problem. Additionally, error estimates for the solu- tion are found. The problems are united by a common ideology going back to the problem of finding the Chebyshev center.

Библиографическая ссылка: 

Балашов М.В., Камалов Р.А. Optimization of the Reachable Set of a Linear System with Respect to Another Set // Computational Mathematics and Mathematical Physics. 2023. Vol. 63, No. 5. С. 751–770.