Stabilizing Hybrid Systems on Time Scale: A Switching and Impulsive Control Strategy

A switching and impulsive control strategy is employed to stabilize hybrid systems on time scale. Due to timescale type stability criteria, we obtain exponential and asymptotic stability of hybrid systems. The new results show that traditional stability criteria for hybrid systems will not always be applied for different time scales. Hence, our results are new and provide new stability theory for hybrid systems on time scale. Finally, the examples are calculated to verify the our time-scale type results.