Leader-following consensus of multi-agent systems with delayed impulsive control
Jia Liu, Liuxiao Guo, Manfeng Hu, Zhenyuan Xu, Yongqing Yang · IMA Journal of Mathematical Control and Information · 2014
This paper is concerned with the consensus of second-order multi-agent systems with a leader and switching topologies. A delayed impulsive consensus protocol is proposed, which only depends on the agent's own information and its neighbour's partial information. Based on a Lyapunov function approach, sufficient conditions for the convergence to consensus are established, which provides the appropriate impulsive delay interval on the admissible switching topology. Finally, numerical simulations are provided to illustrate the theoretical results.