On robust consensus of multi-agent systems with communication delays.

*(English)*Zbl 1190.93003Summary: Two robust consensus problems are considered for a multi-agent system with various disturbances. To achieve the robust consensus, two distributed control schemes for each agent, described by a second-order differential equation, are proposed. With the help of graph theory, the robust consensus stability of the multi-agent system with communication delays is obtained for both fixed and switching interconnection topologies. The results show the leaderless consensus can be achieved with some disturbances or time delays.

##### MSC:

93A14 | Decentralized systems |

93C10 | Nonlinear systems in control theory |

94C15 | Applications of graph theory to circuits and networks |

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