Consensus of multi-agent directed networks with nonlinear perturbations via impulsive control

In this paper, consensus problems of a multi-agent directed network with nonlinear perturbations is considered. When the consensus of a directed network may be destroyed by the unknown perturbations, the impulsive control is introduced to ensure the consensus of all nodes. Then, based on a transformation of matrix theory, the original impulsive system is turned into a reduced-order impulsive system, and a sufficient criterion is obtained to guarantee the consensus of all agents. Finally, an example is provided to illustrate the effectiveness of the gained criterion.