Bounded Leader-Following Consensus of Heterogeneous Directed Delayed Multi-Agent Systems via Asynchronous Impulsive Control

This brief investigates consensus of multi-agent systems via asynchronous impulsive control. Firstly, the model considered in this brief accords with actual situation. Secondly, a new control scheme is proposed, which not only can greatly reduce communication and control cost, but also effectively solves the problem of excessive power. Moreover, sufficient conditions formulated by linear matrix inequalities are developed to obtain the less conservative results. The consensus error bound and the convergence rate are also given by rigorous mathematical proof. Finally, a numerical simulation is given to verify the theoretical analysis.