Prescribed Time Cluster Formation for Multi-Agent Systems Under Cooperation-Competition Interaction

In this paper, the problem of prescribed time cluster formation of multi-agent systems with cooperation-competition interaction is studied. Firstly, the concept of prescribed time cluster formation of multi-agent systems with cooperation-competition interaction is introduced. Secondly, an state feedback controller is designed to ensure the prescribed time cluster formation by Lyapunov functional method and free-weight matrix technology. Finally, a numerical example is given to illustrate the effective of the the results and method of this paper.