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            <funder>Héctor Ríos gratefully acknowledges the financial support from CONACyT 270504. This work was supported in part by Conseil Region Nord-Pas de Calais (ARCIR Project ESTIREZ), the Government of Russian Federation (Grant 074-U01), the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031), and ANR ROCC-SYS (ANR-14-CE27-0008).</funder>
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              <p>This paper contributes to the stability analysis for nonlinear impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The new method relies on a 2D time domain representation. Different types of stability notions for a class of nonlinear impulsive systems are studied using a vector Lyapunov function approach. The results are applied to analyze the stability of a class of Lipschitz nonlinear impulsive systems based on Linear Matrix Inequalities. Some numerical examples illustrate the feasibility of the proposed approach.</p>
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