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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2007, Issue 2(15), Pages 173–176
DOI: https://doi.org/10.14498/vsgtu552 (Mi vsgtu552) 		 
Short Communication
Mathematical Modelling

On equilibrium stability of gradient type automatic control systems

E. Yu. Prosviryakov, V. V. Struzhanov

Institute of Engineering Science, Urals Branch, Russian Academy of Sciences
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DOI: https://doi.org/10.14498/vsgtu552
Abstract: We consider two systems of gradient type automatic control systems where the control parameters and states are related by the potential function. The criterion of stable equilibrium loss for systems are suggested, more specifically the criterion using the discriminant cone of potential function and the criterion based on the Lyapunov’ stability definition.
Received 07.03.2007
Document Type: Article
UDC: 519.9
Language: Russian
Citation: E. Yu. Prosviryakov, V. V. Struzhanov, “On equilibrium stability of gradient type automatic control systems”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(15) (2007), 173–176
Citation in format AMSBIB
\Bibitem{ProStr07}
\by E.~Yu.~Prosviryakov, V.~V.~Struzhanov
\paper On equilibrium stability of gradient type automatic control systems
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2007
\vol 2(15)
\pages 173--176
\mathnet{http://mi.mathnet.ru/vsgtu552}
\crossref{https://doi.org/10.14498/vsgtu552}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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