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Problemy Upravleniya, 2018, Issue 3, Pages 2–7
DOI: https://doi.org/10.25728/pu.2018.3.1
(Mi pu1076)
 

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

Analysis and synthesis of control systems

Upper estimates of large deviations in linear systems in presence of uncertaint

Ya. I. Kvinto, M. V. Khlebnikov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
Full-text PDF (736 kB) Citations (4)
References:
Abstract: The linear dynamic system is considered in the presence of uncertainty in its matrix. Upper estimates of deviations in linear dynamic systems are obtained on the basis of linear matrix inequalities technique, and the problem is investigated of deviations minimization in linear control systems by means of static linear state feedback. Numerical simulations demonstrated the low degree of conservatism of the estimates obtained.
Keywords: linear dynamic system, uncertainty, linear matrix inequalities, large deviations, Lyapunov function.
Funding agency Grant number
Russian Foundation for Basic Research 18-08-00140
Document Type: Article
UDC: 519.7
Language: Russian
Citation: Ya. I. Kvinto, M. V. Khlebnikov, “Upper estimates of large deviations in linear systems in presence of uncertaint”, Probl. Upr., 2018, no. 3, 2–7
Citation in format AMSBIB
\Bibitem{KviKhl18}
\by Ya.~I.~Kvinto, M.~V.~Khlebnikov
\paper Upper estimates of large deviations in linear systems in presence of uncertaint
\jour Probl. Upr.
\yr 2018
\issue 3
\pages 2--7
\mathnet{http://mi.mathnet.ru/pu1076}
\crossref{https://doi.org/10.25728/pu.2018.3.1}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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