Multi-agent System Based on Stackelberg and Edge Laplace Matrix

Abstract

Aiming at the problems of low efficiency,local conflict resolution and lack of practical application scenarios in the interaction model of multi-agent system in the distributed environment,this paper designs a multi-agent multi-slave interaction model based on Stackelberg game,which is applied to the interaction game between the controller and the participants in the command and control process.Firstly,through the optimization of Stackelberg game model and the multi-agent system of Stackelberg game of multiple leaders-follwers designed by multi-attribute decision-making,the closed-loop solution problem of Stackelberg game is solved by introducing a regular Riccati equation,which uses the optimization regularity of semi positive quadratic performance index.Then,based on graph theory,a multi-agent system model based on edge Laplace matrix is established to reduce the difficulty of solving complex problems.At last,numerical simulation and experimental analysis verify the efficiency and strong robustness of the model from many aspects.Moreover,it also proves that the proposed model is true and efficient.

Keywords

• distributed|multi-master and multi-slave|stackelberg game|closed-loop solution|edge laplace matrix