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Avtomatika i Telemekhanika, 1985, Issue 1, Pages 40–47 (Mi at6862)  
Deterministic Systems

Sufficient conditions for stability of nonautonomous linear systems and estimation of the regions of attraction of nonlinear systems

È. M. Solnechnyĭ

Moscow
Full-text PDF (1334 kB)
Abstract: An estimate for the norm of a fundamental solution matrix of a nonautonomous linear system and the resultant system stability conditions are obtained. Ways to specify the condition and its application to evaluation of the attraction region of an autonomous nonlinear system are discussed. Examples are given.

Received: 28.07.1983
Bibliographic databases:
Document Type: Article
UDC: 62-501.42
Language: Russian
Citation: È. M. Solnechnyǐ, “Sufficient conditions for stability of nonautonomous linear systems and estimation of the regions of attraction of nonlinear systems”, Avtomat. i Telemekh., 1985, no. 1, 40–47; Autom. Remote Control, 46 (1985), 34–39
Citation in format AMSBIB
\Bibitem{Sol85}
\by \`E.~M.~Solnechny{\v\i}
\paper Sufficient conditions for stability of nonautonomous linear systems and estimation of the regions of attraction of nonlinear systems
\jour Avtomat. i Telemekh.
\yr 1985
\issue 1
\pages 40--47
\mathnet{http://mi.mathnet.ru/at6862}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=793827}
\zmath{https://zbmath.org/?q=an:0578.34037}
\transl
\jour Autom. Remote Control
\yr 1985
\vol 46
\pages 34--39
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