Mittag–Leffler stability analysis of nonlinear fractional-order systems with impulses

This paper is designed to deal with the Lyapunov stability analysis of fractional-order nonlinear systems with impulses. Based on the theory of fractional calculus, impulsive differential equation and S-procedure, several sufficient criteria are established to guarantee the Mittag–Leffler stability for the addressed model with appropriate impulsive controller. Furthermore, two numerical examples are given to verify the validity and feasibility of the obtained results.