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Avtomatika i Telemekhanika, 1980, Issue 2, Pages 65–71 (Mi at6972)  
This article is cited in 1 scientific paper (total in 1 paper)

Stochastic Systems

Exponential stability of one class on nonlinear stochastic systems

P. V. Pakshin

Arzamas
Full-text PDF (1155 kB) Citations (1)
Abstract: Frequency conditions are obtained for exponential stability of one-dimensional nonlinear systems of Lurie type with a continuous time sand disturbed by multiplicative noises. With these conditions met the variance of phase coordinates decreases in time at least as fast as the exponential function of power known in advance. For the case of systems also subjected to additive noises frequency conditions for ergodicity and an estimate of the value of the quadratic performance functional are obtained.

Received: 09.04.1979
Bibliographic databases:
Document Type: Article
UDC: 62-505.52
Language: Russian
Citation: P. V. Pakshin, “Exponential stability of one class on nonlinear stochastic systems”, Avtomat. i Telemekh., 1980, no. 2, 65–71; Autom. Remote Control, 41:2 (1980), 189–194
Citation in format AMSBIB
\Bibitem{Pak80}
\by P.~V.~Pakshin
\paper Exponential stability of one class on nonlinear stochastic systems
\jour Avtomat. i Telemekh.
\yr 1980
\issue 2
\pages 65--71
\mathnet{http://mi.mathnet.ru/at6972}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=586621}
\zmath{https://zbmath.org/?q=an:0463.93073}
\transl
\jour Autom. Remote Control
\yr 1980
\vol 41
\issue 2
\pages 189--194
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  • https://www.mathnet.ru/eng/at6972
  • https://www.mathnet.ru/eng/at/y1980/i2/p65
    • 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
    		Avtomatika i Telemekhanika
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