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Avtomatika i Telemekhanika, 1986, Issue 5, Pages 38–49 (Mi at6230)  
This article is cited in 12 scientific papers (total in 12 papers)

Deterministic Systems

Lyapunov functions detemining the necessary and sufficient conditions for absolute stability of nonlinear nostationary control systems. III

A. P. Molchanov, E. S. Pyatnitskiĭ

Moscow
Full-text PDF (1798 kB) Citations (12)
Abstract: For nonlinear control systems incorporating several nonlinear elements that satisfy sector-like constraints the necessary and sufficient stability conditions are obtained in terms of solvability of a system of matrix equations. In a similar form, the necessary and sufficient conditions are found for asymptotical stability of linear stationary systems, and differential inclusions of a special form.

Received: 12.06.1985
Bibliographic databases:
Document Type: Article
UDC: 62-501.52
Language: Russian
Citation: A. P. Molchanov, E. S. Pyatnitskiǐ, “Lyapunov functions detemining the necessary and sufficient conditions for absolute stability of nonlinear nostationary control systems. III”, Avtomat. i Telemekh., 1986, no. 5, 38–49; Autom. Remote Control, 47:5 (1986), 620–630
Citation in format AMSBIB
\Bibitem{MolPya86}
\by A.~P.~Molchanov, E.~S.~Pyatnitski{\v\i}
\paper Lyapunov functions detemining the necessary and sufficient conditions for absolute stability of nonlinear nostationary control systems.~III
\jour Avtomat. i Telemekh.
\yr 1986
\issue 5
\pages 38--49
\mathnet{http://mi.mathnet.ru/at6230}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=854335}
\zmath{https://zbmath.org/?q=an:0626.93051}
\transl
\jour Autom. Remote Control
\yr 1986
\vol 47
\issue 5
\pages 620--630
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  • https://www.mathnet.ru/eng/at/y1986/i5/p38
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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