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Problemy Upravleniya, 2005, Issue 3, Pages 2–9 (Mi pu430)  
Analysis and synthesis of control systems

On sufficient and necessary conditions of asymptotic stability of nonlinear dynamic systems

V. P. Zhukov

Institute of Control Sciences, Russian Academy of Sciences
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Abstract: New sufficient and necessary conditions for asymptotic stability of equilibrium states of autonomous dynamic systems governed by Cauchy-type ordinary differential equations of any order are derived. The application of a special function class (instead of Lyapunov functions) allowed to prove the asymptotic stability converse with clear geometric meaning.
Document Type: Article
UDC: 62-501.52
Language: Russian
Citation: V. P. Zhukov, “On sufficient and necessary conditions of asymptotic stability of nonlinear dynamic systems”, Probl. Upr., 2005, no. 3, 2–9
Citation in format AMSBIB
\Bibitem{Zhu05}
\by V.~P.~Zhukov
\paper On sufficient and necessary conditions of asymptotic stability of nonlinear dynamic systems
\jour Probl. Upr.
\yr 2005
\issue 3
\pages 2--9
\mathnet{http://mi.mathnet.ru/pu430}
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