Bipartite leader–follower consensus for nonlinear signed networks with impulsive control

The bipartite leader–follower consensus for nonlinear signed networks with impulse control is investigated. Based on the controllability of leader–follower, the leader selection scheme is given for different nonlinear cases, and the inclusion of a dynamic control set allows the impulsive control of leader–follower to control the whole system. In the framework of Lyapunov’s stability method, sufficient conditions for bipartite leader–follower consensus and stability based on time and event triggers are derived. The combination of impulsive control and leader–follower controllability reduces the cost of control, and the choice of leaders’ sets is easier to use compared to pinning control. This makes our study more practical. Finally, four numerical examples validate the correctness of the proposed control strategy.