Consensus of a new multi-agent system via multi-task, multi-control mechanism and multi-consensus strategy

This paper studies the consensus problem of a new multi -agent system via multi -task, multi -control mechanism and multi -consensus strategy. Firstly, two multi -task algorithms are proposed, which can reasonably select some agent nodes with better performance to form the multi -agent system according to different tasks. Secondly, a multi -control protocol designed in this paper integrates continuous control mechanism, impulsive control mechanism and hybrid control mechanism, which has strong applicability and efficiency. Thirdly, a multiconsensus strategy is designed, and it can be converted into "average consensus strategy", "leader -following consensus strategy"and "hybrid consensus strategy"through different parameter settings, which greatly broadens the application field of the multi -agent system. We construct a dynamic model for the proposed multi -agent system, analyze it by using matrix measure and Lyapunov stability theory, and obtain the theorems that enable it to achieve multiple consensus. Finally, the efficiency and practicability of our theories are verified through several simulation experiments. We further carry out some comparative analysis with some relevant papers, and obtain the superiority of our theories in multiple indicators.