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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 1, Pages 284–299 (Mi timm922)  

This article is cited in 5 scientific papers (total in 5 papers)

On differential inclusions with positional discontinuous and pulse controls

I. A. Finogenkoa, D. V. Ponomariovb

a Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
b Irkutsk State University
Full-text PDF (295 kB) Citations (5)
References:
Abstract: The sliding and pulse sliding modes of the controlled systems submitted in the form of differential inclusions are studied. By the method of equivalent control the differential inclusion to which satisfies a limiting pulse sliding mode is obtained. Conditions while this mode is a usual sliding mode for some system with discontinuous positional controls of relay type are received. The example is considered.
Keywords: differential inclusion, discontinuous positional control, sliding mode, impulse sliding mode.
Received: 12.03.2012
Bibliographic databases:
Document Type: Article
UDC: 517.911.5
Language: Russian
Citation: I. A. Finogenko, D. V. Ponomariov, “On differential inclusions with positional discontinuous and pulse controls”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 284–299
Citation in format AMSBIB
\Bibitem{FinPon13}
\by I.~A.~Finogenko, D.~V.~Ponomariov
\paper On differential inclusions with positional discontinuous and pulse controls
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 1
\pages 284--299
\mathnet{http://mi.mathnet.ru/timm922}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3409365}
\elib{https://elibrary.ru/item.asp?id=18839287}
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  • https://www.mathnet.ru/eng/timm922
  • https://www.mathnet.ru/eng/timm/v19/i1/p284
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:286
    Full-text PDF :73
    References:61
    First page:4
     
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