The consensus of discrete multi-agent systems with asymmetric delay

The consensus problem has always been the core of multi-agent systems. In recent years, the studies of multi-agent systems with symmetric delay or variable delay have some work. But few scholars are involved in the research of the study of multi-agent systems with asymmetric delay. In this paper, the consensus of discrete multi-agent systems with asymmetric delay are discussed under the network topology whose adjacency matrix is the stochastic matrix. The eigenvalue distribution consensus is proposed based on the predecessors’ research. Using the theory of stochastic matrix and stability theory of discrete system, the sufficient conditions of Lyapnov stability , eigenvalue distribution consensus and average consensus are given, respectively. Lastly, numerical simulations are given to show the effectiveness of our results.