Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2016, Issue 4, Pages 104–115
DOI: https://doi.org/10.21638/11701/spbu10.2016.410
(Mi vspui315)
 

This article is cited in 1 scientific paper (total in 1 paper)

Control processes

Characteristic polynomials for a cycle of non-linear discrete systems with time delays

A. D. Khamitova

Odessa National Polytechnic University, 1, Shevchenko Ave, Odessa, 65044, Ukraine
Full-text PDF (321 kB) Citations (1)
References:
Abstract: We study a method associated with constructing of delayed feedback for local stabilization of periodic orbits of nonlinear discrete systems. An alternative approach to the construction of characteristic polynomial for the delay system linearized in the neighborhood of $T$-cycle is suggested. It is proven that our new alternative approach is equivalent to the standard one, however, it allows us to produce directly new forms of polynomials. These forms are convenient in applications to the problems of chaos control and allow us to apply methods of geometric complex function theory. This article is an extension of the results, which received D. Dmitrishin, P. Haglstein, A. Khamitova and A. Stokolos to the vector case. Refs 6. Fig 1.
Keywords: non-linear systems, asymptotic stability of cycles, DFC methods.
Received: October 15, 2015
Accepted: September 29, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.977.1
Language: English
Citation: A. D. Khamitova, “Characteristic polynomials for a cycle of non-linear discrete systems with time delays”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2016, no. 4, 104–115
Citation in format AMSBIB
\Bibitem{Kha16}
\by A.~D.~Khamitova
\paper Characteristic polynomials for a cycle of non-linear discrete systems with time delays
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2016
\issue 4
\pages 104--115
\mathnet{http://mi.mathnet.ru/vspui315}
\crossref{https://doi.org/10.21638/11701/spbu10.2016.410}
\elib{https://elibrary.ru/item.asp?id=28173691}
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  • 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
    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:90
    Full-text PDF :14
    References:27
    First page:5
     
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