LAUSR

In this brief, we focus on two types of consensus issues of hybrid multiagent system under impulse control. Firstly, the hybrid multiagent system is introduced under impulse control, which includes continuous and discrete dynamic interactions. We use the characteristic of the impulse controller to transform the hybrid system into a single system. By using relevant knowledge of graph theory and matrix theory, the necessary and sufficient conditions for the consensus of the hybrid multiagent system are established. Secondly, taking advantage of impulse control, an index function for evaluating the performance between agents is introduced. It is shown that the hybrid multiagent system can achieve the consensus with guaranteed position performance by combining the coupling weights. Finally, two numerical examples are presented to verify the validity of the main results.