Leader‐Following Consensus in Networks of Agents with Nonuniform Time‐Varying Delays
Zhao-Jun Tang, Ting‐Zhu Huang, Jiangping Hu, Jinliang Shao · Mathematical Problems in Engineering · 2012
This paper is concerned with a leader‐following consensus problem for networks of agents with fixed and switching topologies as well as nonuniform time‐varying communication delays. By employing Lyapunov‐Razumikhin function, a necessary and sufficient condition is derived in the case of fixed topology, and a sufficient condition is obtained in the case when the interconnection topology is switched and satisfies certain condition. Simulation results are provided to illustrate the theoretical results.