55426

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Transient Response in Matrix Discrete-Time Linear Systems

ISBN/ISSN: 

0005-1179

Наименование источника: 

  • Automation and Remote Control

Обозначение и номер тома: 

Vol.. 80, Iss. 9

Город: 

  • Berlin

Издательство: 

  • Pleiades Publishing, Ltd

Год издания: 

2019

Страницы: 

1645–1652
Аннотация
The behavior of trajectories of multidimensional linear discrete-time systems with nonzero initial conditions is considered in two cases as follows. The first case is the systems with infinite degree of stability (the processes of a finite duration); the second case is the stable systems with a spectral radius close to 1. It is demonstrated that in both cases, large deviations of the trajectories from the equilibrium may occur. These results are applied to accelerated unconstrained optimization methods (such as the Heavy-ball method) for explaining the nonmonotonic behavior of the methods, which is observed in practice.

Библиографическая ссылка: 

Поляк Б.Т., Смирнов Г.В. Transient Response in Matrix Discrete-Time Linear Systems // Automation and Remote Control. 2019. Vol. 80, Iss. 9. С. 1645–1652.

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Да

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