Distributed leadless coordination for networks of second-order agents with time-delay on switching topology

In this paper, we consider distributed leadless coordination in networks of second-order agents with time-delay and switching topology. We first perform a model transformation and turn the original system into an equivalent system. Then based on this equivalent system, we derive sufficient conditions in terms of linear matrix inequalities (LMIs) that guarantee all agents asymptotically reach consensus. Finally, simulation results are provided to show the effectiveness of the obtained theoretical results.