Abstract
This paper mainly discusses the formation of second-order multi-agent systems with fixed and switching topologies by time-delayed impulsive control. The key issue is how to design an appropriate impulsive control algorithm to maintain a desired geometric formation with input delays and switching topologies between neighboring agents. First, according to the restriction of systems, the impulsive protocol is proposed for the follower agents. Then, by using the stability theory, some conditions are derived to ensure the formation consensus. Finally, the numerical examples illustrate the effectiveness and correctness of the designed impulsive control algorithm.