Resumen de An impulsive version of Perron's theorem

Víctor H. Cortes, Patricio González

• We prove the asymptolic stability of the null solution of the impulsive system x' = Ax+ f(t, x) under the influence of externa linear impulses defined by constant matrices {Dj }j. These matrices act at a given fixed and increasing unbonnded sequence of positive times {lj }j· The main idea is to apply a generalization of Bellman's inequality lo such impulsive system.