A simple test for asymptotic stability in some dynamical systems.

dc.creatorIbargüen Mondragón, Eduardo
dc.creatorCerón Gómez, Miller
dc.creatorRomero Leiton, Jhoana Patricia
dc.date.accessioned2015-09-21T15:11:32Z
dc.date.available2015-09-21T15:11:32Z
dc.date.created2015-09-21T15:11:32Z
dc.date.issued2015-09-21
dc.identifierhttps://hdl.handle.net/10893/8855
dc.description.abstractIn this paper we analyze asymptotic stability of the dynamical system x˙ = f(x) defined by a C1 function f : D Rn where D Rn + is an open set. We obtain a criterion of stability for the equilibrium solution ¯x D when the vector field f satisfies a) ifi(¯x) < 0 and b) ( ifi(¯x))−1 ifj(¯x) + ( jfj(¯x))−1 jfi(¯x) > 2 for i, j = 1, . . . ,n.
dc.languageeng
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectOrdinary Differential Equations
dc.subjectAsymptotic Stability
dc.subjectEquilibrium solution
dc.titleA simple test for asymptotic stability in some dynamical systems.
dc.typeArtículo de revista


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