中文摘要：

Practical stabilities for linear fractional impulsive hybrid systems are investigated in detail.The transformation from a linear fractional differential system to a fractional impulsive hybrid system is interpreted.With the help of the Mittag-Leffler functions for matrix-type,several practical stability criteria for fractional impulsive hybrid systems are derived.Finally,a numerical example is provided to illustrate the effectiveness of the results.

英文摘要：

Practical stabilities for linear fractional impulsive hybrid systems are investigated in detail. The transformation from a linear fractional differential system to a fractional impulsive hybrid system is interpreted. With the help of the Mittag-Leffler functions for matrix-type, several practical stability criteria for fractional impulsive hybrid systems are derived. Finally, a numerical example is provided to illustrate the effectiveness of the results.