The stability of impulsive incommensurate fractional order chaotic systems with Caputo derivative

Abstract The stability of impulsive incommensurate fractional-order systems is investigated in this paper. Some novel stability criteria for impulsive incommensurate fractional-order systems are proposed. The presented sufficient condition, which is more general than those of the known ones, is suitable for the case of the fractional orders 0  α 1  ≤  α 2  ≤ ⋅⋅⋅ ≤  α n  ≤ 1. The simulation results by taking the incommensurate fractional-order T – D system and fractional order Chen economical system as two examples are delivered to illustrate the effectiveness of the proposed method.