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Avtomatika i Telemekhanika, 1984, Issue 6, Pages 21–29 (Mi at4743)  
Deterministic Systems

On stability analysis on nonlinear dynamic system

S. A. Diligenskii

Moscow
Full-text PDF (1217 kB)
Abstract: A method is proposed for determining the estimate of the attraction region for a trivial solution of a nonlinear rector-valued autonomous equation in matrix form. Solutions of an equation with initial conditions in a given estimate of the attraction regiom are shown to converge monotonically to zero in the norm.

Received: 06.12.1982
Bibliographic databases:
Document Type: Article
UDC: 62-501.52
Language: Russian
Citation: S. A. Diligenskii, “On stability analysis on nonlinear dynamic system”, Avtomat. i Telemekh., 1984, no. 6, 21–29; Autom. Remote Control, 45:6 (1984), 699–707
Citation in format AMSBIB
\Bibitem{Dil84}
\by S.~A.~Diligenskii
\paper On stability analysis on nonlinear dynamic system
\jour Avtomat. i Telemekh.
\yr 1984
\issue 6
\pages 21--29
\mathnet{http://mi.mathnet.ru/at4743}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=774654}
\zmath{https://zbmath.org/?q=an:0557.93054}
\transl
\jour Autom. Remote Control
\yr 1984
\vol 45
\issue 6
\pages 699--707
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