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Avtomatika i Telemekhanika, 2009, Issue 5, Pages 106–121 (Mi at473)  
This article is cited in 6 scientific papers (total in 6 papers)

Deterministic Systems

Optimality conditions of sliding modes and the maximum principle for control problems with the scalar argument

A. M. Tsirlin

Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia
Full-text PDF (185 kB) Citations (6)
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Abstract: Various types of optimality criteria and conditions, which define the set of admissible solution, are brought to the canonical form. For the problem set in this form, the optimality conditions of sliding modes are stated. It is shown that the optimality conditions emerge from these conditions in the form of the maximum principle for problems with a scalar argument and an arbitrary combination of the optimality criterion and constraints.
Presented by the member of Editorial Board: Yu. S. Popkov

Received: 11.01.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 5, Pages 839–854
DOI: https://doi.org/10.1134/S0005117909050117
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: A. M. Tsirlin, “Optimality conditions of sliding modes and the maximum principle for control problems with the scalar argument”, Avtomat. i Telemekh., 2009, no. 5, 106–121; Autom. Remote Control, 70:5 (2009), 839–854
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :126
    References:85
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