Consensus problem for high-order multi-agent systems

This paper aims to study the consensus problem for high-order-integrator multi-agent systems. A consensus protocol is proposed, which only depends on the agent's own partial information and its neighbors' partial information, that is, the global information of agents and the full information of its neighbor are no need to be available. Some necessary lemmas were firstly presented, and then under the consensus protocol, a necessary and sufficient condition for guaranteeing the consensus is established. Finally, an illustrative example was given to verify the obtained theoretical result.