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Avtomatika i Telemekhanika, 2006, Issue 8, Pages 12–35 (Mi at1220)  
This article is cited in 6 scientific papers (total in 6 papers)

Deterministic Systems

Periodic motions and criteria of absolute stability, instability, and controllability of two-dimensional bilinear systems

V. N. Zhermolenko

Gubkin Russian State University of Oil and Gas
Full-text PDF (331 kB) Citations (6)
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Abstract: Two-dimensional time-varying linear systems under parametric interval uncertainty are studied. A variational method based on phase portrait is developed for investigating controllable systems. Analytical criteria for absolute stability, instability, and complete controllability are formulated. The complete controllability criterion is shown to be implied by the criteria of absolute stability and instability.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 03.02.2006
English version:
Automation and Remote Control, 2006, Volume 67, Issue 8, Pages 1194–1214
DOI: https://doi.org/10.1134/S0005117906080029
Bibliographic databases:
Document Type: Article
PACS: 02. 30 Yy
Language: Russian
Citation: V. N. Zhermolenko, “Periodic motions and criteria of absolute stability, instability, and controllability of two-dimensional bilinear systems”, Avtomat. i Telemekh., 2006, no. 8, 12–35; Autom. Remote Control, 67:8 (2006), 1194–1214
Citation in format AMSBIB
\Bibitem{Zhe06}
\by V.~N.~Zhermolenko
\paper Periodic motions and criteria of absolute stability, instability, and controllability of two-dimensional bilinear systems
\jour Avtomat. i Telemekh.
\yr 2006
\issue 8
\pages 12--35
\mathnet{http://mi.mathnet.ru/at1220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2261507}
\zmath{https://zbmath.org/?q=an:1194.34108}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 8
\pages 1194--1214
\crossref{https://doi.org/10.1134/S0005117906080029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747726264}
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  • https://www.mathnet.ru/eng/at/y2006/i8/p12
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:34
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