Formation tracking for nonlinear agents with unknown second-order locally Lipschitz continuous dynamics

This paper investigates the formation tracking problem for a group of networked agents with second-order unknown locally Lipschitz continuous nonlinear dynamics. By utilizing the ISS (input-to-state stable) notion and backstepping design method, a distributed control strategy is proposed with the aid of graph theory and the cyclic-small-gain theorem. The proposed strategy can drive the positions of the agents to converge to a desired geometric pattern, as well as the position center of the agents to trace a desired trajectory.