Abstract
This paper concentrates on the problem of finite-time consensus of nonlinear multi-agent systems (MASs) via impulsive time window theory: a two-stage control (TSC) strategy. The TSC divide the whole control period into two parts, separately variable impulsive control stage and finite-time consensus control stage. Different from the general single-stage control, TSC can adjust the time period of impulsive control and finite-time control dynamically according to the practical application requirements. The variable impulsive control is also discussed in this paper. Comparing with the traditional fixed impulsive theory, the impulsive sampling time occurs randomly within the impulsive time window, providing much more flexibility to the system. In addition, the switching topology scheme is introduced in this paper to strengthen the stability of the MASs. Finally, two numerical simulation examples on the leaderless case and leader-following case are given to demonstrate the theoretical analysis.