Second-order cluster consensus of multi-agent dynamical systems with impulsive effects

•Cluster consensus of multi-agent systems with impulsive effects is studied.•Agent is governed by different second-order dynamics in each cluster.•Delay coupling and switching topology are respectively considered.•The topology is asymmetric and weights are not necessarily positive.

This paper discuss the cluster consensus of multi-agent dynamical systems (MADSs) with impulsive effects and coupling delays. Some sufficient conditions that guarantee cluster consensus in MADS are derived. In each cluster, agents update their position and velocity states according to a leader’s instantaneous information, and interactions among agents are uncertain. Furthermore, switching topology problem in MADS is considered by impulsive stability and adaptive strategy. Finally, numerical simulations are given to verify our theoretical analysis.