Consensus Analysis of the Multi-agent System

This paper investigates the consensus problem of the multi-agent system. A new method is used to solve the problem, which is Laplace transform. According to the Laplace transform, the accurate solution of the system can be solved, and the state of the consensus center can be found. It is proved that the agents of the system will aggregate and form a cohesive cluster around the consensus center in a finite time under certain conditions. Moreover, a new system about the non-autonomous agents is discussed. Finally, some simulations are given to illustrate the theoretical results.