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

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 < α1 ≤ α2 ≤ ⋅⋅⋅ ≤ αn ≤ 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.