Consensus protocol in discrete-time based on network topology

In this paper, we discuss the consensus of discrete-time multi-agent system. Based on the network topology, consensus protocol in discrete-time with dynamic step-size is designed. Conventional algorithms need man made step-size generally, having a great non-natural impact. The new algorithm employs a self-adaptive dynamic step-size based on the network topology, with little non-natural factor, and can reach a consensus faster. Firstly, for first-order discrete-time multi-agent system, designed the fast consensus protocols in discrete-time and provided a whole proof process through the method based on z-transformation. Then we proof this new algorithm can reach a consensus faster than the conventional algorithm through designing the simulation.