Light fixed-time control for cluster synchronization of complex networks

Abstract Fixed-time control allows complex systems to be stable in a settling time independent of initial conditions, which receives extensive attentions in the field of control and engineering. However, the application to complex systems suffers from the issues of chattering effects and multi-parameters. To address these issues, a light fixed-time controller is proposed with a compact formulation by revisiting continuous control paradigm. Sufficient conditions are then obtained by Lyapunov stability theorem to guarantee the nodes in each cluster to desired states in a settling time. At last, numerical examples are given to verify the effectiveness of our proposed control strategy.