Event-triggered fixed-time bipartite consensus for nonlinear disturbed multi-agent systems with leader-follower and leaderless controller

The event-triggered fixed-time bipartite consensus inside the domain of disturbed nonlinear multi-agent systems is examined in this study. A multitude of essential prerequisites are stipulated within signed networks, both in favor of and in opposition to leadership roles within nonlinear multi-agent systems, with the aim of ensuring the attainment of fixed-time bipartite consensus. Firstly, the control protocol is suggested to ensure the possibility of achieving bipartite fixed-time tracking consensus in multi-agent systems when there is a leader present. These control strategies have demonstrated the absence of Zeno behavior in studies. Secondly, the bipartite consensus without leaders is also discussed, as is Zeno behavior. Finally, with the goal of substantiating the reliability of the theoretical conclusions, illustrations are served by offering a couple of numeric instances.