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Avtomatika i Telemekhanika, 2014, Issue 5, Pages 18–30 (Mi at9091)  
This article is cited in 6 scientific papers (total in 6 papers)

Nonlinear Systems

On the asymptotic stability of solutions of hybrid multivariable systems

A. Yu. Aleksandrov, A. V. Platonov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (229 kB) Citations (6)
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Abstract: Consideration was given to the hybrid multivariable systems whose dynamics obeys the nonlinear switched differential equations. Conditions for the zero solutions of such systems to be asymptotically stable to any law of switching were established using the comparison method. Examples of applying the results obtained to the stability analysis of hybrid automatic control system and mechanical system with switched force fields were presented.
Presented by the member of Editorial Board: S. N. Vassilyev

Received: 13.11.2013
English version:
Automation and Remote Control, 2014, Volume 75, Issue 5, Pages 818–828
DOI: https://doi.org/10.1134/S0005117914050026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Aleksandrov, A. V. Platonov, “On the asymptotic stability of solutions of hybrid multivariable systems”, Avtomat. i Telemekh., 2014, no. 5, 18–30; Autom. Remote Control, 75:5 (2014), 818–828
Citation in format AMSBIB
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\paper On the asymptotic stability of solutions of hybrid multivariable systems
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\pages 818--828
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  • https://www.mathnet.ru/eng/at/y2014/i5/p18
    • 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 :78
    References:56
    First page:27
     
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