I. Introduction
IN recent years, multiple Unmanned Aerial Vehicles (multi-UAVs) formation reconfiguration has become a hot topic for the reason that it can be widely applied in both military and civilian fields. When one of the UAVs is damaged or out of control, the formation should be reconfigured to conduct the mission [1]. During the interim of multi-UAVs formation reconfiguration, many constraints should be considered, such as time, threats, collision avoiding, safe distance ensuring, and so on. An appropriate reconfiguration can bring not only high efficiency, but also high accuracy of the mission. The multi-UAVs formation reconfiguration mainly focus on determining a nominal input trajectory for each UAV so that the multi-UAVs group can start from the initial configuration and reach its final configuration at the certain time while satisfying the set of constraints [2].