34938

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

The Optimal Control Problem for Linear Systems of Non-integer Order with Lumped and Distributed Parameters

ISBN/ISSN: 

ISSN 2164-6376

Наименование источника: 

  • Discontinuity, Nonlinearity, and Complexity

Обозначение и номер тома: 

No 4 (4)

Город: 

  • St. Louice, USA

Издательство: 

  • L&H Scientific Publishing LLC

Год издания: 

2015

Страницы: 

429 - 443
Аннотация
Abstract The optimal control problem for linear dynamic systems of fractional order with lumped and distributed parameters is investigated. This problem is reduced to the classical moment problem. This paper validates the conditions making possible to formulate and resolve the obtained moment problem. Some particular cases of fractional-order systems are discussed. The explicit solutions for the problems of optimal control were obtained in case of systems with lumped parameters. In case of system with distributed parameters an approximate solution analyzed for moment problem. In particular, this paper studies the problem to minimize the norm of control for the assigned time interval and the problem of control with the minimal time of the object transition into the desirable state with the given limitation of the norm of control.

Библиографическая ссылка: 

Кубышкин В.А., Постнов С.С. The Optimal Control Problem for Linear Systems of Non-integer Order with Lumped and Distributed Parameters // Discontinuity, Nonlinearity, and Complexity. 2015. No 4 (4). С. 429 - 443.