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Avtomatika i Telemekhanika, 1981, Issue 7, Pages 11–18 (Mi at5844)  

This article is cited in 3 scientific papers (total in 3 papers)

Deterministic Systems

On the deformation method for studies of performance functionals in systems with an infinite number of degrees of freedom

N. A. Bobylev

Moscow
Abstract: A tool is suggested for investigating the performance functionals of nonlinear infinitely-dimensional systems whereby the functional is deformed to become a functional with a minimum point. Theorems on the minimum of integral functional are found to be related to those on uniqueness of boundary value problems for differential equations. Some applications to stability analysis of systems with an infinite number of degrees of freedom are pointed up to.

Received: 08.05.1980
Bibliographic databases:
Document Type: Article
UDC: 62-501.5
Language: Russian
Citation: N. A. Bobylev, “On the deformation method for studies of performance functionals in systems with an infinite number of degrees of freedom”, Avtomat. i Telemekh., 1981, no. 7, 11–18; Autom. Remote Control, 42:7 (1981), 858–864
Citation in format AMSBIB
\Bibitem{Bob81}
\by N.~A.~Bobylev
\paper On the deformation method for studies of performance functionals in systems with an infinite number of degrees of freedom
\jour Avtomat. i Telemekh.
\yr 1981
\issue 7
\pages 11--18
\mathnet{http://mi.mathnet.ru/at5844}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=647348}
\zmath{https://zbmath.org/?q=an:0491.93031}
\transl
\jour Autom. Remote Control
\yr 1981
\vol 42
\issue 7
\pages 858--864
Linking options:
  • https://www.mathnet.ru/eng/at5844
  • https://www.mathnet.ru/eng/at/y1981/i7/p11
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Full-text PDF :47
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