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Avtomatika i Telemekhanika, 1990, Issue 12, Pages 75–84 (Mi at6024)  

This article is cited in 4 scientific papers (total in 4 papers)

Stochastic Systems

Stabilization of dynamic system under uncertain and random perturbations

Yu. S. Kan, A. I. Kibzun

Moscow Aviation Institute
Abstract: Stabilization is considered in the sense of ensuring dissipativity (in probability) of a quasilinear dynamic system under uncertain and random disturbances, as well as random measurement errors. The problem is solved in a class of linear controls with the aid of vector Lyapunov functions by means of which the nonlinearity in the equations of motion of the system is interpreted as a weak connection between the subsystems of identifiction and control. The possibility is also examined of improving the quality of stabilization with the aid of a nonlinear control in the case that the phase vector is measured exactly.

Received: 13.10.1989
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: Yu. S. Kan, A. I. Kibzun, “Stabilization of dynamic system under uncertain and random perturbations”, Avtomat. i Telemekh., 1990, no. 12, 75–84; Autom. Remote Control, 51:12 (1990), 1665–1673
Citation in format AMSBIB
\Bibitem{KanKib90}
\by Yu.~S.~Kan, A.~I.~Kibzun
\paper Stabilization of dynamic system under uncertain and random perturbations
\jour Avtomat. i Telemekh.
\yr 1990
\issue 12
\pages 75--84
\mathnet{http://mi.mathnet.ru/at6024}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1101886}
\zmath{https://zbmath.org/?q=an:0739.93067}
\transl
\jour Autom. Remote Control
\yr 1990
\vol 51
\issue 12
\pages 1665--1673
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  • https://www.mathnet.ru/eng/at/y1990/i12/p75
  • This publication is cited in the following 4 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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