Event-triggered affine formation of second-order multi-agent systems via complex-valued Laplacian

This paper investigates event-triggered affine formation control of second-order multi-agent systems with directed communication graph. An approach based on complex-valued Laplacian is used as a means of avoiding the use of global information. Two event-triggered strategies are proposed, both of which are capable of achieving global convergence and forming the desired formation without Zeno-behavior, while also optimizing the utilization of resources. Moreover, the dynamic event-triggered strategy conserves more communication resources by comparison. Finally, a numerical simulation example is provided to demonstrate the effectiveness of the obtained conclusions.