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Avtomatika i Telemekhanika, 2005, Issue 9, Pages 27–39 (Mi at1430)  
This article is cited in 8 scientific papers (total in 8 papers)

Deterministic Systems

Oscillativity of two-dimensional bilinear systems

V. N. Zhermolenko

Gubkin Russian State University of Oil and Gas, Moscow, Russia
Full-text PDF (228 kB) Citations (8)
References:
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Abstract: Consideration was given to the linear nonstationary systems whose coefficients are known only to be arbitrary measurable functions satisfying the interval constraints. Notions of oscillativity and nonoscillativity of these bilinear systems were introduced, and their oscillatory properties were studied exhaustively.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 15.11.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 9, Pages 1384–1395
DOI: https://doi.org/10.1007/s10513-005-0179-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Zhermolenko, “Oscillativity of two-dimensional bilinear systems”, Avtomat. i Telemekh., 2005, no. 9, 27–39; Autom. Remote Control, 66:9 (2005), 1384–1395
Citation in format AMSBIB
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\paper Oscillativity of two-dimensional bilinear systems
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\transl
\jour Autom. Remote Control
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\pages 1384--1395
\crossref{https://doi.org/10.1007/s10513-005-0179-x}
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Linking options:
  • https://www.mathnet.ru/eng/at1430
  • https://www.mathnet.ru/eng/at/y2005/i9/p27
    • This publication is cited in the following 8 articles:
    1. Zhermolenko V., Poznyak A., “Criteria of Robust Stability For Time-Varying. Dwang-Mitchel Differential Systems: Integral Funnel Method”, Int. J. Control, 89:11 (2016), 2297–2310  crossref  mathscinet  zmath  isi  scopus
    2. Fan H., Wen Ch., Xie W., “Research on the stability of two-dimensional bilinear systems”, Iciea 2007: 2nd IEEE Conference on Industrial Electronics and Applications, IEEE Conference on Industrial Electronics and Applications, 2007, 373–378  isi
    3. Huijin Fan, Changyun Wen, Wenxiang Xie, 2007 2nd IEEE Conference on Industrial Electronics and Applications, 2007, 373  crossref
    4. V. N. Zhermolenko, “Periodic motions and criteria of absolute stability, instability, and controllability of two-dimensional bilinear systems”, Autom. Remote Control, 67:8 (2006), 1194–1214  mathnet  crossref  mathscinet  zmath
    5. M. R. Liberzon, “Essays on the absolute stability theory”, Autom. Remote Control, 67:10 (2006), 1610–1644  mathnet  crossref  mathscinet  zmath  elib  elib
    6. Zhermolenko V.N., “Trajectory funnels of two-dimensional bilinear control systems”, Journal of Computer and Systems Sciences International, 45:2 (2006), 191–203  crossref  mathscinet  zmath  isi  scopus
    7. Zhermolenko V.N., “Phase portraits of two-dimensional bilinear control systems”, Journal of Computer and Systems Sciences International, 45:3 (2006), 345–355  crossref  mathscinet  zmath  isi  scopus
    8. V. N. Zhermolenko, “Singular sets and dynamic properties of bilinear control systems”, J. Math. Sci., 147:2 (2007), 6623–6630  mathnet  mathnet  crossref  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:255
    Full-text PDF :62
    References:49
    First page:1
     
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