Consensus of a new multi-agent system with impulsive control which can heuristically construct the communication network topology

摘要

This paper mainly studies the consensus of a new multi-agent system which can heuristically construct the communication network topology. Firstly, we presented some preparatory knowledge and constructed a dynamic model for the new multi-agent system. Secondly, we studied the control protocol. Inspired by the laws of nature, we designed some strategies for constructing the communication network topology heuristically, and these strategies were used in the control protocol. At the same time, in order to save the cost of communication and control, the impulsive control mechanism was also used in the control protocol. Thirdly, based on the dynamic model and the control protocol, we derived a state error system. Further, we used Lyapunov stability theory to analyze the state error system and obtained two theorems that enable the new multi-agent system to achieve consensus. Finally, we compared the proposed model with several related studies. Meanwhile, we also applied the results we obtained into the real scenario of symmetric secure communication to verify their practicability and efficiency.