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Avtomatika i Telemekhanika, 2011, Issue 5, Pages 47–68 (Mi at1703)  
This article is cited in 21 scientific papers (total in 21 papers)

Nonlinear Systems

Method of Lyapunov functions for systems with higher-order sliding modes

A. E. Polyakova, A. S. Poznyakb

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
b The Research and Advanced Studies Center of the National Polytechnic Institute (CINVESTAV), Mexico City, Mexico
Full-text PDF (448 kB) Citations (21)
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Abstract: For the control systems with higher-order sliding modes, a method was proposed to construct the Lyapunov functions on the basis of the method of characteristics for solution of a special first-order partial derivative equation. Its successful solution enables one to generate the Lyapunov function which proves that the convergence time is finite and estimates explicitly the time of reaching the sliding mode.
Presented by the member of Editorial Board: B. T. Polyak

Received: 18.04.2008
English version:
Automation and Remote Control, 2011, Volume 72, Issue 5, Pages 944–963
DOI: https://doi.org/10.1134/S0005117911050043
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. E. Polyakov, A. S. Poznyak, “Method of Lyapunov functions for systems with higher-order sliding modes”, Avtomat. i Telemekh., 2011, no. 5, 47–68; Autom. Remote Control, 72:5 (2011), 944–963
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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