39461

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Asymmetric resource networks. II. Flows for large resources and their stabilization

DOI: 

10.1134/S0005117912060070

Наименование источника: 

  • Automation and Remote Control

Обозначение и номер тома: 

V. 73, No. 6

Город: 

  • Moscow

Издательство: 

  • Pleiades Publishing, Ltd.

Год издания: 

2012

Страницы: 

1016--1028
Аннотация
We study stabilization processes in resource networks with arbitrary topology for large values of the resource, when certain vertices accumulate the resource, and resource in these vertices exceeds output bandwidth. We introduce the notion of flow in a network and study monotone and nonmonotone flows. We prove existence and uniqueness for the limit flow and, as a corollary, of the limit state. We introduce the notion of a potential attractor and study networks with one and several attractors. We show that in networks with several potential attractors, in case of large resources the limit state depends on the initial state.

Библиографическая ссылка: 

Жилякова Л.Ю. Asymmetric resource networks. II. Flows for large resources and their stabilization // Automation and Remote Control. 2012. V. 73, No. 6. С. 1016--1028.

Публикация имеет версию на другом языке: 

Да

Связь с публикацией: