Algebraic stability of impulsive fractional-order systems

In this paper, stability of impulsive fractional-order systems is investigated. By Lyapunov's direct method and comparison principle, results about asymptotic stability are given. To this end, comparison principles are first generalized to impulsive fractional order systems, through which a fractional inequality is derived for the linear impulsive system. Then sufficient conditions for the Mittag-Leffler stability, which is a special case of algebraic stability, of impulsive fractional-order systems are established. An example is given to show the effectiveness of the results