17560

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Analysis of finite-time convergence by the method of Lyapunov functions in systems with second-order sliding modes

ISBN/ISSN: 

0021-8928

Наименование источника: 

  • Journal of Applied Mathematics and Mechanics

Обозначение и номер тома: 

Т. 75, № 3

Город: 

  • Амстердам

Издательство: 

  • Elsevier B.V.

Год издания: 

2011

Страницы: 

289-303, http://www.sciencedirect.com/science/article/pii/S0021892811000815
Аннотация
A method for constructing Lyapunov functions for analysing of control systems with second-order sliding modes is proposed. It is based on solving a special partial differential equation and enables Lyapunov functions to be constructed that prove that a system transfers into a sliding mode after a finite time and give an explicit estimate of this time. The method is illustrated for three known second order sliding algorithms.

Библиографическая ссылка: 

Позняк А.С., Поляков А.Е., Стрыгин В.В. Analysis of finite-time convergence by the method of Lyapunov functions in systems with second-order sliding modes // Journal of Applied Mathematics and Mechanics. 2011. Т. 75, № 3. С. 289-303, http://www.sciencedirect.com/science/article/pii/S0021892811000815.