Distributed Consensus Protocol for Multi-Agent Differential Graphical Games

This brief investigates the multi-agent differential graphical game for high-order systems. A modified cost function for each agent is presented, and a fully distributed control protocol that guarantees the leaderless consensus and optimization in the sense of Nash equilibrium is designed. The designed protocol allows the communication topology to only contain a directed spanning tree. A numerical example is finally reported to illustrate the effectiveness of theoretical work.