TY - JOUR AU - Cortes, Víctor H. AU - González, Patricio PY - 2018/04/03 Y2 - 2024/03/28 TI - An impulsive version of Perron's theorem JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 12 IS - 1 SE - DO - 10.22199/S07160917.1993.0001.00004 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/2622 SP - 35-43 AB - <p><em>We prove the asymptolic stability of the null solution of the impulsive system x' = Ax+ f(t, </em>x) <em>under the influence of externa linear impulses defined by constant matrices </em>{<em>D<sub>j </sub></em>}<sub>j</sub>. <em>These matrices act at a given fixed and increasing unbonnded sequence of positive times </em>{l<sub>j</sub> }<sub>j</sub>· <em>The main idea </em>is <em>to apply a generalization of Bellman's inequality lo such impulsive system.</em></p> ER -