Consensus of impulsive coupled networked delay systems under edge-based attacks

This paper investigates the consensus of impulsive coupled networked delay systems (NDSs) under edge-based attacks. First, an edge-based attack model is established, which is asynchronous and can change the states of nodes. Next, according to the number of edges allowed to be attacked at a time instant, the edge-based attack is divided into two cases. For each case, the sufficient condition is given to guarantee the system consensus against the edge-based attacks. Then, by considering a special type of edge-based attacks on the NDSs with star topology, a less conservative consensus criterion is obtained. Finally, two numerical examples are given to verify the correctness of the obtained results.