Artículo de revista
A simple test for asymptotic stability in some dynamical systems.
Autor
Ibargüen Mondragón, Eduardo
Cerón Gómez, Miller
Romero Leiton, Jhoana Patricia
Institución
Resumen
In 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.