Geodesic
On equilibrium stability of gradient type automatic control systems
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 173-176

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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. 
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     author = {E. Yu. Prosviryakov and V. V. Struzhanov},
     title = {On equilibrium stability of gradient type automatic control systems},
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     pages = {173--176},
     publisher = {mathdoc},
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     year = {2007},
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E. Yu. Prosviryakov; V. V. Struzhanov. On equilibrium stability of gradient type automatic control systems. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 173-176. http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a27/