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Avtomatika i Telemekhanika, 2010, Issue 5, Pages 48–52 (Mi at814)  
This article is cited in 5 scientific papers (total in 5 papers)

Deterministic Systems

On absolute stability of positive systems

M. Yu. Churilova

Gertsen Russian Pedagogical University, St. Petersburg, Russia
Full-text PDF (159 kB) Citations (5)
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Abstract: Consideration was given to the nonlinear control systems for which the nonnegative orthant is a positive invariant set. For such systems, the M. A. Aizerman absolute stability hypothesis was shown to be valid.
Presented by the member of Editorial Board: A. P. Krishchenko

Received: 12.05.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 5, Pages 772–775
DOI: https://doi.org/10.1134/S0005117910050048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Yu. Churilova, “On absolute stability of positive systems”, Avtomat. i Telemekh., 2010, no. 5, 48–52; Autom. Remote Control, 71:5 (2010), 772–775
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at814
  • https://www.mathnet.ru/eng/at/y2010/i5/p48
    • This publication is cited in the following 5 articles:
    1. Violaine Piengeon, Chris Guiver, “A linear dissipativity approach to incremental input-to-state stability for a class of positive Lur'e systems”, International Journal of Control, 2024, 1  crossref
    2. Ross Drummond, Chris Guiver, Matthew C. Turner, “Aizerman Conjectures for a Class of Multivariate Positive Systems”, IEEE Trans. Automat. Contr., 68:8 (2023), 5073  crossref
    3. Anton V. Proskurnikov, Alexander Davydov, Francesco Bullo, “The Yakubovich S-Lemma Revisited: Stability and Contractivity in Non-Euclidean Norms”, SIAM J. Control Optim., 61:4 (2023), 1955  crossref
    4. Fornasini E., Valcher M.E., “Stability Properties of a Class of Positive Switched Systems with Rank One Difference”, Syst. Control Lett., 64 (2014), 12–19  crossref  mathscinet  zmath  isi  elib  scopus
    5. Fainshil L., Margaliot M., “A Maximum Principle for the Stability Analysis of Positive Bilinear Control Systems with Applications to Positive Linear Switched Systems”, SIAM J. Control Optim., 50:4 (2012), 2193–2215  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:458
    Full-text PDF :152
    References:91
    First page:2
     
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