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On robust consensus of multi-agent systems with communication delays. (English) Zbl 1190.93003
Summary: 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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