The sampled-data consensus of multi-agent systems with probabilistic time-varying delays and packet losses

This paper investigates the consensus of multi-agent systems with probabilistic time varying delays and packet losses via sampled-data control. On the one hand, a Bernoulli distributed white sequence is employed to model random packet losses among agents. On the other hand, a switched system is used to describe packet dropouts in a deterministic way. Based on the special property of the Laplacian matrix, the consensus problem can be converted into a stabilization problem of a switched system with lower dimensions. Some mean square consensus criteria are derived in terms of constructing an appropriate Lyapunov function and using linear matrix inequalities (LMIs). Finally, two numerical examples are given to show the effectiveness of the proposed method. (C) 2017 Elsevier B.V. All rights reserved.