Consensus tracking of linear multi-agent systems with undirected switching communication topologies under impulsive disturbances

In this note, the consensus tracking problem is studied for MASs with undirected switching communication topologies under impulsive disturbances. Unlike the impulsive disturbances considered in most existing literature which are caused by sudden noise, frequency change and so forth, the disturbances under consideration are owing to malicious attacks on the agents. By constructing a topology independent multiple Lyapunov function, we shall prove that consensus tracking could be achieved by selecting appropriate coupling strength and feedback gain matrix provided that the average dwell time is greater than a positive threshold. The obtained theoretical result is finally validated by simulation.