Consensus for multi-agent systems with random link failures

This paper investigates the second-order consensus problem for multi-agent systems with random link failures between each agent. The discrete-time multi-agent systems are described by the second-order dynamics, and the communication network is assumed to be directed with fixed topology. Since each link between the agents can be subject to failure with a certain probability, the control protocol is designed by considering the random link failures. The random link failures are presented by a Bernoulli probability sequence, that is, the control protocol for failure occurrence is designed by using the one step previous data that is sent by its neighbors´ agents. The control protocol for second-order multi-agent systems is designed by using Lyapunov method. The mean square stability is shown for leaderless and leader-following multi-agent systems in terms of a set of linear matrix inequality (LMI), and some simulation results are provided to verify the effectiveness of the proposed methods.