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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 2, Pages 254–264 (Mi timm827)  
This article is cited in 2 scientific papers (total in 2 papers)

Stability of autoresonance models under persistent disturbances

O. A. Sultanov

Ufa State Aviation Technical University
Full-text PDF (223 kB) Citations (2)
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Abstract: The paper is devoted to investigating the stability of growing solutions of nonlinear systems related to the autoresonance phenomenon. The aim of the paper is to find conditions under which solutions are stable under persistent disturbances. The main tool here is the Lyapunov function. The results obtained for the main resonance equations are extended to general nonautonomous systems close to Hamiltonian systems.
Keywords: stability, perturbations, Lyapunov function, nonlinear systems, autoresonance.
Received: 01.10.2011
Bibliographic databases:
Document Type: Article
UDC: 517.925.51
Language: Russian
Citation: O. A. Sultanov, “Stability of autoresonance models under persistent disturbances”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 2, 2012, 254–264
Citation in format AMSBIB
\Bibitem{Sul12}
\by O.~A.~Sultanov
\paper Stability of autoresonance models under persistent disturbances
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 2
\pages 254--264
\mathnet{http://mi.mathnet.ru/timm827}
\elib{https://elibrary.ru/item.asp?id=17736205}
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  • https://www.mathnet.ru/eng/timm/v18/i2/p254
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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