Consensus of Discrete-Time Multi-Agent Systems with Markovian Packet Dropouts*

This paper investigates the consensus problem for discrete linear multi-agent systems (MASs) in the case of Markovian packet dropouts. The agent subsystems are connected by lossy channels, which can be described by Markov process. The relationship of agent dynamics, communication network, and packet losses rate is studied, and based on which the MASs can achieve consensus by a designed distributed controller. Specifically, based on the stability of a transformed system state function under the identical packet looses, we first derive the sufficient condition of consensus for discrete-time MASs, and meanwhile design the control gain. Then, we also discuss the sufficient condition of consensus for the MASs under nonidentical packet losses. At last, the availability of the proposed results is illustrated through simulation examples.