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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 1, Pages 127–138
DOI: https://doi.org/10.1070/SM1982v041n01ABEH002225 (Mi sm2784) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stability of mappings of Hilbert space and equivalence of controlled systems

A. V. Sarychev
English version PDF (813 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1982v041n01ABEH002225
Abstract: In this paper methods of the theory of singularities of smooth mappings (catastrophe theory) are applied to the study and classification of nonlinear controlled systems. The notion of equivalence of controlled systems is introduced and sufficient conditions for first and second order definiteness of such equivalence are obtained.
Bibliography: 3 titles.
Received: 05.03.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 113(155), Number 1(9), Pages 146–160
Bibliographic databases:
UDC: 517.97
MSC: Primary 34H05, 93C15; Secondary 45G10
Language: English
Original paper language: Russian
Citation: A. V. Sarychev, “Stability of mappings of Hilbert space and equivalence of controlled systems”, Mat. Sb. (N.S.), 113(155):1(9) (1980), 146–160; Math. USSR-Sb., 41:1 (1982), 127–138
Citation in format AMSBIB
\Bibitem{Sar80}
\by A.~V.~Sarychev
\paper Stability of mappings of Hilbert space and equivalence of controlled systems
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 113(155)
\issue 1(9)
\pages 146--160
\mathnet{http://mi.mathnet.ru/sm2784}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=590543}
\zmath{https://zbmath.org/?q=an:0481.93039|0468.93039}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 1
\pages 127--138
\crossref{https://doi.org/10.1070/SM1982v041n01ABEH002225}
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  • https://www.mathnet.ru/eng/sm/v155/i1/p146
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:303
    Russian version PDF:92
    English version PDF:10
    References:57
    First page:2
     
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