Distributed rotating consensus control of multi-agent systems with random time-varying delays

In this paper, the distributed rotating consensus problem of multi-agent systems is investigated with time-varying delays governed by a Markov chain. By applying the Lyapunov-Krasovskii approach, a delay-dependent sufficient condition is derived under directed topology in terms of linear matrix inequalities (LMIs) to ensure that all the agents can achieve rotating consensus with local information exchanges. Finally, a numerical example is provided to illustrate the effectiveness of the theoretical results.