2013 , VOLUME 13, NUMBER 1 ( January-February )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Vladimir O.
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DYNAMICAL SYSTEMS STABILITY STUDY BY THE PROPERTIES OF THE VECTOR PHASE SPEED FLOW THROUGH A CLOSED CONVEX SURFACE

I. B. Furtat

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Abstract

The paper deals with stability analysis of autonomous dynamical systems by vector phase speed flow through a closed convex surface. Conditions on the sign of the vector phase speed flow for stability of dynamical systems are proposed.

Keywords: vector field flow, stability, the second Lyapunov’s theorem

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