Prescribed-Time Leader-Follower Bipartite Consensus for Nonlinear Multi-agent Systems

This paper considers the prescribed-time leader-follower bipartite consensus (PTLFBC) issue for nonlinear multi-agent systems (MASs). Firstly, a novel continuous distributed control protocol is given under the undirected and directed networks. Using Lyapunov stability theory, some sufficient conditions are derived for the nonlinear MASs to achieve leader-follower bipartite consensus within a prescribed-time. Secondly, to save the communication resource, an improved event-triggered aperiodic intermittent control (ETAIC) protocol is further established by using a kind of auxiliary function, and some related conditions are given for achieving PTLFBC. Finally, two examples are given to demonstrate the effectiveness of the results.