Contemporary Mathematics. Fundamental Directions
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Contemporary Mathematics. Fundamental Directions, 2011, Volume 42, Pages 23–29 (Mi cmfd186)  
This article is cited in 3 scientific papers (total in 3 papers)

A synthesis of the control of dynamical systems on the basis of the method of Lyapunov functions

I. M. Anan'evskii

A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (158 kB) Citations (3)
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Abstract: We consider the problem of the synthesis of a bounded control reducing a dynamical system to the given terminal state in a finite time. Two approaches to solve the problem, based on methods of the theory of stability of motion, are provided. One of them is applicable to nonlinear Lagrange mechanical systems with undetermined parameters, while another is applicable to linear systems. The characteristic property is that the Lyapunov functions are defined implicitly in both cases. We make a comparison between these approaches.
English version:
Journal of Mathematical Sciences, 2014, Volume 199, Issue 6, Pages 597–603
DOI: https://doi.org/10.1007/s10958-014-1887-y
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: I. M. Anan'evskii, “A synthesis of the control of dynamical systems on the basis of the method of Lyapunov functions”, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), CMFD, 42, PFUR, M., 2011, 23–29; Journal of Mathematical Sciences, 199:6 (2014), 597–603
Citation in format AMSBIB
\Bibitem{Ana11}
\by I.~M.~Anan'evskii
\paper A synthesis of the control of dynamical systems on the basis of the method of Lyapunov functions
\inbook Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3--7, 2009)
\serial CMFD
\yr 2011
\vol 42
\pages 23--29
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd186}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3013344}
\transl
\jour Journal of Mathematical Sciences
\yr 2014
\vol 199
\issue 6
\pages 597--603
\crossref{https://doi.org/10.1007/s10958-014-1887-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902815329}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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